Paolini, Gianluca; Shelah, Saharon Torsion-free abelian groups are faithfully Borel complete and pure embeddability is a complete analytic quasi-order. arXiv:2312.04162 Preprint, arXiv:2312.04162 [math.LO] (2023). MSC: 03E15 20K20 BibTeX Cite \textit{G. Paolini} and \textit{S. Shelah}, ``Torsion-free abelian groups are faithfully Borel complete and pure embeddability is a complete analytic quasi-order'', Preprint, arXiv:2312.04162 [math.LO] (2023) Full Text: arXiv OA License
Paolini, Gianluca; Shelah, Saharon Anti-Classification Results for Rigidity Conditions in Abelian and Nilpotent Groups. arXiv:2303.03778 Preprint, arXiv:2303.03778 [math.LO] (2023). MSC: 03E15 20K20 20K30 BibTeX Cite \textit{G. Paolini} and \textit{S. Shelah}, ``Anti-Classification Results for Rigidity Conditions in Abelian and Nilpotent Groups'', Preprint, arXiv:2303.03778 [math.LO] (2023) Full Text: arXiv OA License
Horowitz, Haim; Shelah, Saharon On the definability of mad families of vector spaces. (English) Zbl 07483259 Ann. Pure Appl. Logic 173, No. 4, Article ID 103079, 7 p. (2022). MSC: 03E15 03E40 15A03 54D80 PDFBibTeX XMLCite \textit{H. Horowitz} and \textit{S. Shelah}, Ann. Pure Appl. Logic 173, No. 4, Article ID 103079, 7 p. (2022; Zbl 07483259) Full Text: DOI arXiv
Paolini, Gianluca; Shelah, Saharon Torsion-Free Abelian Groups are Borel Complete. arXiv:2102.12371 Preprint, arXiv:2102.12371 [math.LO] (2021). MSC: 03E15 20K20 20K30 BibTeX Cite \textit{G. Paolini} and \textit{S. Shelah}, ``Torsion-Free Abelian Groups are Borel Complete'', Preprint, arXiv:2102.12371 [math.LO] (2021) Full Text: arXiv OA License
Dugas, Manfred; Herden, Daniel; Shelah, Saharon \(\aleph_k\)-free cogenerators. (English) Zbl 1523.20096 Rend. Semin. Mat. Univ. Padova 144, 87-104 (2020). MSC: 20K20 13C05 20K30 03E75 13C10 20K25 20K35 03E35 PDFBibTeX XMLCite \textit{M. Dugas} et al., Rend. Semin. Mat. Univ. Padova 144, 87--104 (2020; Zbl 1523.20096) Full Text: DOI arXiv
Shelah, Saharon Quite free complicated abelian groups, pcf and black boxes. (English) Zbl 1493.03007 Isr. J. Math. 240, No. 1, 1-64 (2020). Reviewer: Radoslav M. Dimitrić (New York) MSC: 03E04 03E35 03E55 03E75 20K20 PDFBibTeX XMLCite \textit{S. Shelah}, Isr. J. Math. 240, No. 1, 1--64 (2020; Zbl 1493.03007) Full Text: DOI arXiv
Corson, Samuel M.; Shelah, Saharon Deeply concatenable subgroups might never be free. (English) Zbl 1458.20047 J. Math. Soc. Japan 71, No. 4, 1123-1136 (2019). MSC: 20K20 03E25 03E35 03E75 PDFBibTeX XMLCite \textit{S. M. Corson} and \textit{S. Shelah}, J. Math. Soc. Japan 71, No. 4, 1123--1136 (2019; Zbl 1458.20047) Full Text: DOI arXiv Euclid
Rosłanowski, Andrzej; Shelah, Saharon Borel sets without perfectly many overlapping translations. (English) Zbl 07161694 Rep. Math. Logic 54, 3-43 (2019). MSC: 03E35 03E15 03E50 PDFBibTeX XMLCite \textit{A. Rosłanowski} and \textit{S. Shelah}, Rep. Math. Logic 54, 3--43 (2019; Zbl 07161694) Full Text: arXiv
Shelah, Saharon; Ulrich, Douglas Torsion-free abelian groups are consistently \(\mathrm{a}\Delta^1_2\)-complete. (English) Zbl 1477.03189 Fundam. Math. 247, No. 3, 275-297 (2019). MSC: 03E15 03C55 03C60 20K15 20K20 03E55 PDFBibTeX XMLCite \textit{S. Shelah} and \textit{D. Ulrich}, Fundam. Math. 247, No. 3, 275--297 (2019; Zbl 1477.03189) Full Text: DOI arXiv
Dugas, Manfred; Herden, Daniel; Shelah, Saharon An extension of M. C. R. Butler’s theorem on endomorphism rings. (English) Zbl 1436.16035 Droste, Manfred (ed.) et al., Groups, modules, and model theory – surveys and recent developments. In Memory of Rüdiger Göbel. Proceedings of the conference on new pathways between group theory and model theory, Mülheim an der Ruhr, Germany, February 1–4, 2016. Cham: Springer. 277-284 (2017). MSC: 16S60 20K20 20K30 16W20 16S50 PDFBibTeX XMLCite \textit{M. Dugas} et al., in: Groups, modules, and model theory -- surveys and recent developments. In Memory of Rüdiger Göbel. Proceedings of the conference on new pathways between group theory and model theory, Mülheim an der Ruhr, Germany, February 1--4, 2016. Cham: Springer. 277--284 (2017; Zbl 1436.16035) Full Text: DOI
Shelah, Saharon \(\mathrm{ZF}+\mathrm{DC}+\mathrm{AX}_4\). (English) Zbl 1403.03078 Arch. Math. Logic 55, No. 1-2, 239-294 (2016). MSC: 03E04 03E25 03E75 20K30 20K20 PDFBibTeX XMLCite \textit{S. Shelah}, Arch. Math. Logic 55, No. 1--2, 239--294 (2016; Zbl 1403.03078) Full Text: DOI arXiv
Göbel, Rüdiger; Herden, Daniel; Shelah, Saharon Prescribing endomorphism algebras of \(\aleph_n\)-free modules. (English) Zbl 1312.16024 J. Eur. Math. Soc. (JEMS) 16, No. 9, 1775-1816 (2014). Reviewer: Phillip Schultz (Perth) MSC: 16S50 20K30 13C05 13C10 20K20 03C55 03E75 PDFBibTeX XMLCite \textit{R. Göbel} et al., J. Eur. Math. Soc. (JEMS) 16, No. 9, 1775--1816 (2014; Zbl 1312.16024) Full Text: DOI
Shelah, Saharon; Strüngmann, Lutz On the \(p\)-rank of \(\mathrm{Ext}(A,B)\) for countable Abelian groups \(A\) and \(B\). (English) Zbl 1297.20057 Isr. J. Math. 199, Part B, 567-572 (2014). Reviewer: Gábor Horváth (Debrecen) MSC: 20K35 20K15 20K20 PDFBibTeX XMLCite \textit{S. Shelah} and \textit{L. Strüngmann}, Isr. J. Math. 199, Part B, 567--572 (2014; Zbl 1297.20057) Full Text: DOI arXiv
Kaplan, Itay; Shelah, Saharon Chain conditions in dependent groups. (English) Zbl 1320.03069 Ann. Pure Appl. Logic 164, No. 12, 1322-1337 (2013). MSC: 03C45 03C60 20A15 PDFBibTeX XMLCite \textit{I. Kaplan} and \textit{S. Shelah}, Ann. Pure Appl. Logic 164, No. 12, 1322--1337 (2013; Zbl 1320.03069) Full Text: DOI arXiv
Shelah, Saharon Pcf and abelian groups. (English) Zbl 1316.03023 Forum Math. 25, No. 5, 967-1038 (2013). Reviewer: J. M. Plotkin (East Lansing) MSC: 03E04 03E75 20K20 20K30 PDFBibTeX XMLCite \textit{S. Shelah}, Forum Math. 25, No. 5, 967--1038 (2013; Zbl 1316.03023) Full Text: DOI arXiv
Göbel, Rüdiger; Shelah, Saharon; Strüngmann, Lutz \(\aleph_n\)-free modules over complete discrete valuation domains with almost trivial dual. (English) Zbl 1272.13009 Glasg. Math. J. 55, No. 2, 369-380 (2013). Reviewer: Simion Sorin Breaz (Cluj-Napoca) MSC: 13C05 20K20 20K21 20K30 13B10 13L05 20A15 03E75 PDFBibTeX XMLCite \textit{R. Göbel} et al., Glasg. Math. J. 55, No. 2, 369--380 (2013; Zbl 1272.13009) Full Text: DOI
Hall, Eric J.; Shelah, Saharon Partial choice functions for families of finite sets. (English) Zbl 1271.03069 Fundam. Math. 220, No. 3, 207-216 (2013). Reviewer: Eleftherios Tachtsis (Karlovassi) MSC: 03E25 15A03 PDFBibTeX XMLCite \textit{E. J. Hall} and \textit{S. Shelah}, Fundam. Math. 220, No. 3, 207--216 (2013; Zbl 1271.03069) Full Text: DOI arXiv
Shelah, Saharon WITHDRAWN: Indecomposable explicit abelian group. arXiv:1308.2394 Preprint, arXiv:1308.2394 [math.LO] (2013); retraction notice ibid. MSC: 03C60 20K30 20K20 13C99 03E55 03E75 03C75 BibTeX Cite \textit{S. Shelah}, ``WITHDRAWN: Indecomposable explicit abelian group'', Preprint, arXiv:1308.2394 [math.LO] (2013); retraction notice ibid. Full Text: arXiv OA License
Eklof, Paul C.; Fuchs, László; Shelah, Saharon Test groups for Whitehead groups. (English) Zbl 1273.20055 Rocky Mt. J. Math. 42, No. 6, 1863-1873 (2012). Reviewer: Lutz Strüngmann (Essen) MSC: 20K20 03E35 03E75 20K35 20K40 20A15 PDFBibTeX XMLCite \textit{P. C. Eklof} et al., Rocky Mt. J. Math. 42, No. 6, 1863--1873 (2012; Zbl 1273.20055) Full Text: DOI arXiv Euclid
Shelah, Saharon The first almost free Whitehead group. (English) Zbl 1278.03085 Tbil. Math. J. 4, 17-30 (2011). MSC: 03E75 03C60 03E55 20K20 PDFBibTeX XMLCite \textit{S. Shelah}, Tbil. Math. J. 4, 17--30 (2011; Zbl 1278.03085) Full Text: arXiv Link Link
Shelah, Saharon; Strüngmann, Lutz Kulikov’s problem on universal torsion-free Abelian groups revisited. (English) Zbl 1237.20051 Bull. Lond. Math. Soc. 43, No. 6, 1198-1204 (2011). Reviewer: Simion Sorin Breaz (Cluj-Napoca) MSC: 20K40 20K20 20K35 20K10 PDFBibTeX XMLCite \textit{S. Shelah} and \textit{L. Strüngmann}, Bull. Lond. Math. Soc. 43, No. 6, 1198--1204 (2011; Zbl 1237.20051) Full Text: DOI arXiv
Göbel, Rüdiger; Herden, Daniel; Shelah, Saharon Absolute \(E\)-rings. (English) Zbl 1225.13026 Adv. Math. 226, No. 1, 235-253 (2011). Reviewer: Ulrich Knauer (Oldenburg) MSC: 13L05 13C05 20K30 03E75 03E05 03E35 13C10 13F10 20K20 20K25 PDFBibTeX XMLCite \textit{R. Göbel} et al., Adv. Math. 226, No. 1, 235--253 (2011; Zbl 1225.13026) Full Text: DOI
Shelah, Saharon; Strüngmann, Lutz Filtration-equivalent \(\aleph_1\)-separable Abelian groups of cardinality \(\aleph_1\). (English) Zbl 1233.20050 Ann. Pure Appl. Logic 161, No. 7, 935-943 (2010). Reviewer: Simion Sorin Breaz (Cluj-Napoca) MSC: 20K20 03E35 20K35 20K40 03C60 03E75 PDFBibTeX XMLCite \textit{S. Shelah} and \textit{L. Strüngmann}, Ann. Pure Appl. Logic 161, No. 7, 935--943 (2010; Zbl 1233.20050) Full Text: DOI arXiv
Herden, Daniel; Shelah, Saharon \(\kappa\)-fold transitive groups. (English) Zbl 1210.20050 Forum Math. 22, No. 4, 627-640 (2010). Reviewer: Adolf Mader (Honolulu) MSC: 20K20 20K25 03E05 03E35 20K30 PDFBibTeX XMLCite \textit{D. Herden} and \textit{S. Shelah}, Forum Math. 22, No. 4, 627--640 (2010; Zbl 1210.20050) Full Text: DOI
Göbel, Rüdiger; Herden, Daniel; Shelah, Saharon Skeletons, bodies and generalized \(E(R)\)-algebras. (English) Zbl 1184.20046 J. Eur. Math. Soc. (JEMS) 11, No. 4, 845-901 (2009). Reviewer: Adolf Mader (Honolulu) MSC: 20K30 20K20 16S50 03E55 03E75 PDFBibTeX XMLCite \textit{R. Göbel} et al., J. Eur. Math. Soc. (JEMS) 11, No. 4, 845--901 (2009; Zbl 1184.20046) Full Text: DOI Link
Shelah, Saharon; Strüngmann, Lutz Large indecomposable minimal groups. (English) Zbl 1186.20039 Q. J. Math. 60, No. 3, 353-365 (2009). Reviewer: Adolf Mader (Honolulu) MSC: 20K20 20K27 20K25 03E75 20A15 PDFBibTeX XMLCite \textit{S. Shelah} and \textit{L. Strüngmann}, Q. J. Math. 60, No. 3, 353--365 (2009; Zbl 1186.20039) Full Text: DOI
Blass, Andreas; Shelah, Saharon Basic subgroups and freeness, a counterexample. (English) Zbl 1192.20039 Göbel, Rüdiger (ed.) et al., Models, modules and abelian groups. In memory of A. L. S. Corner. Berlin: Walter de Gruyter (ISBN 978-3-11-019437-1/hbk). 63-73 (2008). Reviewer: Lutz Strüngmann (Essen) MSC: 20K20 20K27 03E05 PDFBibTeX XMLCite \textit{A. Blass} and \textit{S. Shelah}, in: Models, modules and abelian groups. In memory of A. L. S. Corner. Berlin: Walter de Gruyter. 63--73 (2008; Zbl 1192.20039) Full Text: arXiv
Shelah, Saharon; Usvyatsov, Alexander More on \(\mathrm{SOP}_1\) and \(\mathrm{SOP}_2\). (English) Zbl 1154.03015 Ann. Pure Appl. Logic 155, No. 1, 16-31 (2008). Reviewer: M. Yasuhara (Princeton) MSC: 03C45 03C52 03C95 PDFBibTeX XMLCite \textit{S. Shelah} and \textit{A. Usvyatsov}, Ann. Pure Appl. Logic 155, No. 1, 16--31 (2008; Zbl 1154.03015) Full Text: DOI arXiv
Shelah, S.; Strüngmann, L. The \(p\)-rank of \(\text{Ext}_{\mathbb Z}(G,\mathbb Z)\) in certain models of ZFC. (Russian, English) Zbl 1164.03014 Algebra Logika 46, No. 3, 369-397 (2007); translation in Algebra Logic 46, No. 3, 200-215 (2007). MSC: 03E35 03E75 20K20 20K35 PDFBibTeX XMLCite \textit{S. Shelah} and \textit{L. Strüngmann}, Algebra Logika 46, No. 3, 369--397 (2007; Zbl 1164.03014); translation in Algebra Logic 46, No. 3, 200--215 (2007) Full Text: DOI arXiv
Shelah, Saharon \(\aleph_n\)-free abelian group with no non-zero homomorphism to \(\mathbb Z\). (English) Zbl 1144.03034 Cubo 9, No. 2, 59-79 (2007). MSC: 03E75 20K20 20K30 PDFBibTeX XMLCite \textit{S. Shelah}, Cubo 9, No. 2, 59--79 (2007; Zbl 1144.03034) Full Text: DOI arXiv
Farjoun, Emmanuel D.; Göbel, Rüdiger; Segev, Yoav; Shelah, Saharon On kernels of cellular covers. (English) Zbl 1139.55006 Groups Geom. Dyn. 1, No. 4, 409-419 (2007). Reviewer: Jérôme Scherer (Bellaterra) MSC: 55P60 20K20 20K35 PDFBibTeX XMLCite \textit{E. D. Farjoun} et al., Groups Geom. Dyn. 1, No. 4, 409--419 (2007; Zbl 1139.55006) Full Text: DOI arXiv
Göbel, Rüdiger; Shelah, Saharon Absolutely indecomposable modules. (English) Zbl 1122.13006 Proc. Am. Math. Soc. 135, No. 6, 1641-1649 (2007). Reviewer: John Clark (Dunedin) MSC: 13L05 13C05 13C10 13C13 20K15 20K25 20K30 03E05 PDFBibTeX XMLCite \textit{R. Göbel} and \textit{S. Shelah}, Proc. Am. Math. Soc. 135, No. 6, 1641--1649 (2007; Zbl 1122.13006) Full Text: DOI arXiv
Shelah, Saharon; Strüngmann, Lutz A characterization of \(\text{Ext}(G,\mathbb{Z})\) assuming \((V=L)\). (English) Zbl 1116.20036 Fundam. Math. 193, No. 2, 141-151 (2007). Reviewer: Simion Sorin Breaz (Cluj-Napoca) MSC: 20K20 03E35 03C60 03E50 20K35 20K40 18G15 PDFBibTeX XMLCite \textit{S. Shelah} and \textit{L. Strüngmann}, Fundam. Math. 193, No. 2, 141--151 (2007; Zbl 1116.20036) Full Text: DOI arXiv
Blass, Andreas; Shelah, Saharon Disjoint non-free subgroups of Abelian groups. (English) Zbl 1140.20040 Andretta, Alessandro (ed.), Set theory. Recent trends and applications. Rome: Aracne; Napoli: Dipartimento di Matematica, Seconda Università di Napoli (ISBN 978-88-548-0982-6/hbk). Quaderni di Matematica 17, 1-24 (2006). Reviewer: Lutz Strüngmann (Essen) MSC: 20K20 20K27 03E05 03E75 PDFBibTeX XMLCite \textit{A. Blass} and \textit{S. Shelah}, Quad. Mat. 17, 1--24 (2006; Zbl 1140.20040) Full Text: arXiv
Göbel, Rüdiger; Shelah, Saharon Generalized \(E\)-algebras via \(\lambda\)-calculus. I. (English) Zbl 1113.16034 Fundam. Math. 192, No. 2, 155-181 (2006). Reviewer: Charles Vinsonhaler (Storrs) MSC: 16S50 20K20 20K30 16W20 03B40 03E50 03E55 PDFBibTeX XMLCite \textit{R. Göbel} and \textit{S. Shelah}, Fundam. Math. 192, No. 2, 155--181 (2006; Zbl 1113.16034) Full Text: DOI arXiv
Göbel, Rüdiger; Shelah, Saharon Torsionless linearly compact modules. (English) Zbl 1110.20040 Goeters, Pat (ed.) et al., Abelian groups, rings, modules, and homological algebra. Selected papers of a conference on the occasion of Edgar Earle Enochs’ 72nd birthday, Auburn, AL, USA, September 9–11, 2004. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-552-1/hbk). Lecture Notes in Pure and Applied Mathematics 249, 153-158 (2006). Reviewer: Ladislav Bican (Praha) MSC: 20K20 20K25 20K30 16D90 16D70 13C05 PDFBibTeX XMLCite \textit{R. Göbel} and \textit{S. Shelah}, Lect. Notes Pure Appl. Math. 249, 153--158 (2006; Zbl 1110.20040)
Blass, Andreas; Shelah, Saharon Ultrafilters and partial products of infinite cyclic groups. (English) Zbl 1089.03038 Commun. Algebra 33, No. 6, 1997-2007 (2005). MSC: 03E05 20K25 20K20 03E10 PDFBibTeX XMLCite \textit{A. Blass} and \textit{S. Shelah}, Commun. Algebra 33, No. 6, 1997--2007 (2005; Zbl 1089.03038) Full Text: DOI arXiv
Shelah, Saharon On nice equivalence relations on \(^\lambda 2\). (English) Zbl 1081.03053 Arch. Math. Logic 43, No. 1, 31-64 (2004). MSC: 03E47 03E35 20K20 20K35 PDFBibTeX XMLCite \textit{S. Shelah}, Arch. Math. Logic 43, No. 1, 31--64 (2004; Zbl 1081.03053) Full Text: DOI arXiv
Göbel, Rüdiger; Shelah, Saharon; Strüngmann, Lutz Generalized \(E\)-rings. (English) Zbl 1068.20057 Facchini, Alberto (ed.) et al., Rings, modules, algebras, and Abelian groups. Proceedings of the algebra conference – Venezia 2002, Venice, Italy, June 3–8, 2002. New York, NY: Marcel Dekker (ISBN 0-8247-4807-7/pbk). Lect. Notes Pure Appl. Math. 236, 291-306 (2004). Reviewer: Charles Vinsonhaler (Storrs) MSC: 20K20 20K30 16S50 PDFBibTeX XMLCite \textit{R. Göbel} et al., Lect. Notes Pure Appl. Math. 236, 291--306 (2004; Zbl 1068.20057) Full Text: arXiv
Göbel, Rüdiger; Shelah, Saharon Uniquely transitive torsion-free Abelian groups. (English) Zbl 1069.20049 Facchini, Alberto (ed.) et al., Rings, modules, algebras, and Abelian groups. Proceedings of the algebra conference – Venezia 2002, Venice, Italy, June 3–8, 2002. New York, NY: Marcel Dekker (ISBN 0-8247-4807-7/pbk). Lect. Notes Pure Appl. Math. 236, 271-290 (2004). Reviewer: Jutta Hausen (Houston) MSC: 20K20 20K30 13C05 03E35 03E05 PDFBibTeX XMLCite \textit{R. Göbel} and \textit{S. Shelah}, Lect. Notes Pure Appl. Math. 236, 271--290 (2004; Zbl 1069.20049) Full Text: arXiv
Shelah, Saharon; Strüngmann, Lutz Kulikov’s problem on universal torsion-free Abelian groups. (English) Zbl 1045.20048 J. Lond. Math. Soc., II. Ser. 67, No. 3, 626-642 (2003). Reviewer: Simone Wallutis (Essen) MSC: 20K40 20K20 20K35 20K10 PDFBibTeX XMLCite \textit{S. Shelah} and \textit{L. Strüngmann}, J. Lond. Math. Soc., II. Ser. 67, No. 3, 626--642 (2003; Zbl 1045.20048) Full Text: DOI
Göbel, Rüdiger; Shelah, Saharon; Strüngmann, Lutz Almost-free E-rings of cardinality \(\aleph_1\). (English) Zbl 1044.20035 Can. J. Math. 55, No. 4, 750-765 (2003). Reviewer: Phillip Schultz (Nedlands) MSC: 20K20 20K30 13B10 03C60 03E35 PDFBibTeX XMLCite \textit{R. Göbel} et al., Can. J. Math. 55, No. 4, 750--765 (2003; Zbl 1044.20035) Full Text: DOI arXiv
Kubiś, Wiesław; Shelah, Saharon Analytic colorings. (English) Zbl 1022.03026 Ann. Pure Appl. Logic 121, No. 2-3, 145-161 (2003). MSC: 03E05 03E15 03E35 54H05 PDFBibTeX XMLCite \textit{W. Kubiś} and \textit{S. Shelah}, Ann. Pure Appl. Logic 121, No. 2--3, 145--161 (2003; Zbl 1022.03026) Full Text: DOI arXiv
Shelah, Saharon; Strüngmann, Lutz It is consistent with ZFC that \(B_1\)-groups are not \(B_2\). (English) Zbl 1027.20030 Forum Math. 15, No. 4, 507-524 (2003). Reviewer: C.Vinsonhaler (Storrs) MSC: 20K20 03E35 PDFBibTeX XMLCite \textit{S. Shelah} and \textit{L. Strüngmann}, Forum Math. 15, No. 4, 507--524 (2003; Zbl 1027.20030) Full Text: DOI
Shelah, Saharon; Strüngmann, Lutz Cotorsion theories cogenerated by \(\aleph_1\)-free Abelian groups. (English) Zbl 1049.20031 Rocky Mt. J. Math. 32, No. 4, 1617-1626 (2002). Reviewer: Rüdiger Göbel (Essen) MSC: 20K20 20K10 20K35 20K40 03E50 03E35 PDFBibTeX XMLCite \textit{S. Shelah} and \textit{L. Strüngmann}, Rocky Mt. J. Math. 32, No. 4, 1617--1626 (2002; Zbl 1049.20031) Full Text: DOI Link
Shelah, Saharon; Väisänen, Pauli Almost free groups and Ehrenfeucht-Fraïssé games for successors of singular cardinals. (English) Zbl 1122.03033 Ann. Pure Appl. Logic 118, No. 1-2, 147-173 (2002). MSC: 03C60 20K20 03E05 03C75 03E55 PDFBibTeX XMLCite \textit{S. Shelah} and \textit{P. Väisänen}, Ann. Pure Appl. Logic 118, No. 1--2, 147--173 (2002; Zbl 1122.03033) Full Text: DOI arXiv
Eklof, Paul C.; Shelah, Saharon The structure of \(\text{Ext}(A,\mathbb{Z})\) and GCH: possible co-Moore spaces. (English) Zbl 1004.20034 Math. Z. 239, No. 1, 143-157 (2002). Reviewer: Lutz Strüngmann (Essen) MSC: 20K20 20K35 03E35 03E75 55N99 PDFBibTeX XMLCite \textit{P. C. Eklof} and \textit{S. Shelah}, Math. Z. 239, No. 1, 143--157 (2002; Zbl 1004.20034) Full Text: DOI arXiv
Göbel, Rüdiger; Shelah, Saharon Some nasty reflexive groups. (English) Zbl 0988.20044 Math. Z. 237, No. 3, 547-559 (2001). Reviewer: Ladislav Bican (Praha) MSC: 20K20 03E35 13C13 13C05 20K25 20K30 03E05 13C10 PDFBibTeX XMLCite \textit{R. Göbel} and \textit{S. Shelah}, Math. Z. 237, No. 3, 547--559 (2001; Zbl 0988.20044) Full Text: DOI arXiv
Göbel, Rüdiger; Shelah, Saharon Reflexive subgroups of the Baer-Specker group and Martin’s axiom. (English) Zbl 1002.20031 Kelarev, A. V. (ed.) et al., Abelian groups, rings and modules. Proceedings of the AGRAM 2000 conference, Perth, Australia, July 9-15, 2000. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 273, 145-158 (2001). Reviewer: Alireza Abdollahi (Isfahan) MSC: 20K20 03E35 13C13 13C05 20K25 20K30 03E05 13C10 PDFBibTeX XMLCite \textit{R. Göbel} and \textit{S. Shelah}, Contemp. Math. 273, 145--158 (2001; Zbl 1002.20031) Full Text: arXiv
Göbel, Rüdiger; Shelah, Saharon Decompositions of reflexive modules. (English) Zbl 1014.03054 Arch. Math. 76, No. 3, 166-181 (2001). Reviewer: Ladislav Bican (Praha) MSC: 03E75 13C13 03E50 20K20 20K30 03E35 PDFBibTeX XMLCite \textit{R. Göbel} and \textit{S. Shelah}, Arch. Math. 76, No. 3, 166--181 (2001; Zbl 1014.03054) Full Text: DOI arXiv
Shelah, Saharon Strong dichotomy of cardinality. (English) Zbl 0987.03050 Result. Math. 39, No. 1-2, 131-154 (2001). Reviewer: Rüdiger Göbel (Essen) MSC: 03E75 20K35 03E15 20K10 PDFBibTeX XMLCite \textit{S. Shelah}, Result. Math. 39, No. 1--2, 131--154 (2001; Zbl 0987.03050) Full Text: DOI arXiv
Göbel, Rüdiger; Shelah, Saharon; Wallutis, Simone L. On the lattice of cotorsion theories. (English) Zbl 0988.20045 J. Algebra 238, No. 1, 292-313 (2001). Reviewer: Ladislav Bican (Praha) MSC: 20K35 20K20 20K40 PDFBibTeX XMLCite \textit{R. Göbel} et al., J. Algebra 238, No. 1, 292--313 (2001; Zbl 0988.20045) Full Text: DOI arXiv
Shelah, Saharon Non-existence of universal members in classes of Abelian groups. (English) Zbl 1035.20044 J. Group Theory 4, No. 2, 169-191 (2001). Reviewer: Simone Wallutis (Essen) MSC: 20K27 20K20 20K10 03E75 20A15 PDFBibTeX XMLCite \textit{S. Shelah}, J. Group Theory 4, No. 2, 169--191 (2001; Zbl 1035.20044) Full Text: DOI arXiv
Eklof, Paul C.; Shelah, Saharon A non-reflexive Whitehead group. (English) Zbl 0973.20046 J. Pure Appl. Algebra 156, No. 2-3, 199-214 (2001). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 20K35 03E35 03E75 20K20 03C60 03E50 13L05 PDFBibTeX XMLCite \textit{P. C. Eklof} and \textit{S. Shelah}, J. Pure Appl. Algebra 156, No. 2--3, 199--214 (2001; Zbl 0973.20046) Full Text: DOI arXiv
Shelah, Saharon; Kolman, Oren Infinitary axiomatizability of slender and cotorsion-free groups. (English) Zbl 0974.03036 Bull. Belg. Math. Soc. - Simon Stevin 7, No. 4, 623-629 (2000). Reviewer: Rüdiger Göbel (Essen) MSC: 03C75 20K20 03C55 20A15 03C60 PDFBibTeX XMLCite \textit{S. Shelah} and \textit{O. Kolman}, Bull. Belg. Math. Soc. - Simon Stevin 7, No. 4, 623--629 (2000; Zbl 0974.03036) Full Text: arXiv Euclid
Göbel, Rüdiger; Shelah, Saharon Almost free splitters. (English) Zbl 0948.20032 Colloq. Math. 81, No. 2, 193-221 (1999); addendum and corrigendum ibid. 88, No. 1, 155-158 (2001). Reviewer: Ladislav Bican (Praha) MSC: 20K35 13D07 20K20 13C05 20K40 18G05 PDFBibTeX XMLCite \textit{R. Göbel} and \textit{S. Shelah}, Colloq. Math. 81, No. 2, 193--221 (1999; Zbl 0948.20032) Full Text: DOI EuDML
Eklof, Paul C.; Shelah, Saharon Absolutely rigid systems and absolutely indecomposable groups. (English) Zbl 0952.20044 Eklof, Paul C. (ed.) et al., Abelian groups and modules. Proceedings of the international conference in Dublin, Ireland, August 10-14, 1998. Basel: Birkhäuser. Trends in Mathematics. 257-268 (1999). Reviewer: S.Wallutis (Essen) MSC: 20K20 03C55 PDFBibTeX XMLCite \textit{P. C. Eklof} and \textit{S. Shelah}, in: Abelian groups and modules. Proceedings of the international conference in Dublin, Ireland, August 10--14, 1998. Basel: Birkhäuser. 257--268 (1999; Zbl 0952.20044) Full Text: arXiv
Mekler, Alan; Rosłanowski, Andrzej; Shelah, Saharon On the \(p\)-rank of Ext. (English) Zbl 0942.20037 Isr. J. Math. 112, 327-356 (1999). Reviewer: G.Călugăreanu (Cluj-Napoca) MSC: 20K35 03E45 03E55 20K20 PDFBibTeX XMLCite \textit{A. Mekler} et al., Isr. J. Math. 112, 327--356 (1999; Zbl 0942.20037) Full Text: DOI arXiv
Shelah, Saharon Borel Whitehead groups. (English) Zbl 0949.20041 Math. Jap. 50, No. 1, 121-130 (1999). Reviewer: D.Busneag (Craiova) MSC: 20K20 03C60 03E15 03E50 PDFBibTeX XMLCite \textit{S. Shelah}, Math. Japon. 50, No. 1, 121--130 (1999; Zbl 0949.20041) Full Text: arXiv
Goebel, Ruediger; Shelah, Saharon Almost free splitters. arXiv:math/9910161 Preprint, arXiv:math/9910161 [math.LO] (1999). MSC: 13C05 18E40 18G05 20K20 20K35 20K40 BibTeX Cite \textit{R. Goebel} and \textit{S. Shelah}, ``Almost free splitters'', Preprint, arXiv:math/9910161 [math.LO] (1999) Full Text: arXiv
Göbel, Rüdiger; Shelah, Saharon Indecomposable almost free modules – the local case. (English) Zbl 0959.20049 Can. J. Math. 50, No. 4, 719-738 (1998). Reviewer: Ross P.Abraham (Brookings) MSC: 20K20 20K25 20K35 13C10 13C13 PDFBibTeX XMLCite \textit{R. Göbel} and \textit{S. Shelah}, Can. J. Math. 50, No. 4, 719--738 (1998; Zbl 0959.20049) Full Text: DOI arXiv
Eklof, Paul C.; Shelah, Saharon The Kaplansky test problems for \(\aleph_1\)-separable groups. (English) Zbl 0894.20041 Proc. Am. Math. Soc. 126, No. 7, 1901-1907 (1998). Reviewer: Lutz Struengmann (Essen) MSC: 20K20 03E35 20K25 20K30 16S50 PDFBibTeX XMLCite \textit{P. C. Eklof} and \textit{S. Shelah}, Proc. Am. Math. Soc. 126, No. 7, 1901--1907 (1998; Zbl 0894.20041) Full Text: DOI arXiv
Shelah, Saharon Existence of almost free abelian groups and reflection of stationary set. (English) Zbl 0879.03016 Math. Jap. 45, No. 1, 1-14 (1997). MSC: 03E75 20K20 03E05 03E35 20A15 PDFBibTeX XMLCite \textit{S. Shelah}, Math. Japon. 45, No. 1, 1--14 (1997; Zbl 0879.03016) Full Text: arXiv
Shelah, Saharon Non-existence of universals for classes like reduced torsion free Abelian groups under embeddings which are not necessarily pure. (English) Zbl 0936.20044 Droste, Manfred (ed.) et al., Advances in algebra and model theory. Selected surveys presented at conferences in Essen 1994 and Dresden 1995. Reading: Gordon and Breach Science Publishers. Algebra Log. Appl. 9, 229-286 (1997). Reviewer: P.Eklof (Irvine) MSC: 20K27 03E75 20K20 20K10 03E04 PDFBibTeX XMLCite \textit{S. Shelah}, Algebra Log. Appl. 9, 229--286 (1997; Zbl 0936.20044)
Göbel, Rüdiger; Shelah, Saharon G.C.H. implies existence of many rigid almost free Abelian groups. (English) Zbl 0870.20038 Arnold, David M. (ed.) et al., Abelian groups and modules. Proceedings of the international conference at Colorado Springs, CO, USA, August 7–12, 1995. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 182, 253-271 (1996). Reviewer: I.Kh.Bekker (Tomsk) MSC: 20K20 03C50 20K30 16S50 03E35 16S10 PDFBibTeX XMLCite \textit{R. Göbel} and \textit{S. Shelah}, Lect. Notes Pure Appl. Math. 182, 253--271 (1996; Zbl 0870.20038) Full Text: arXiv
Eklof, Paul C.; Shelah, Saharon New nonfree Whitehead groups by coloring. (English) Zbl 0869.20039 Arnold, David M. (ed.) et al., Abelian groups and modules. Proceedings of the international conference at Colorado Springs, CO, USA, August 7–12, 1995. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 182, 15-22 (1996). Reviewer: R.Göbel (Essen) MSC: 20K20 03E35 PDFBibTeX XMLCite \textit{P. C. Eklof} and \textit{S. Shelah}, Lect. Notes Pure Appl. Math. 182, 15--22 (1996; Zbl 0869.20039)
Shelah, Saharon If there is an exactly \(\lambda\)-free abelian group then there is an exactly \(\lambda\)-separable one in \(\lambda\). (English) Zbl 0877.20037 J. Symb. Log. 61, No. 4, 1261-1278 (1996). Reviewer: O.V.Belegradek (Kemerovo) MSC: 20K20 03E05 20E05 PDFBibTeX XMLCite \textit{S. Shelah}, J. Symb. Log. 61, No. 4, 1261--1278 (1996; Zbl 0877.20037) Full Text: DOI arXiv
Eklof, Paul C.; Foreman, Matthew; Shelah, Saharon On invariants for \(\omega_ 1\)-separable groups. (English) Zbl 0842.03028 Trans. Am. Math. Soc. 347, No. 11, 4385-4402 (1995). MSC: 03C55 20K20 03C75 03E35 PDFBibTeX XMLCite \textit{P. C. Eklof} et al., Trans. Am. Math. Soc. 347, No. 11, 4385--4402 (1995; Zbl 0842.03028) Full Text: DOI arXiv
Göbel, Rüdiger; Shelah, Saharon On the existence of rigid \(\aleph_ 1\)-free Abelian groups of cardinality \(\aleph_ 1\). (English) Zbl 0842.20046 Facchini, Alberto (ed.) et al., Abelian groups and modules. Proceedings of the Padova conference, Padova, Italy, June 23-July 1, 1994. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 343, 227-237 (1995). Reviewer: I.Kh.Bekker (Tomsk) MSC: 20K20 20K27 20K99 16S50 20K30 PDFBibTeX XMLCite \textit{R. Göbel} and \textit{S. Shelah}, Math. Appl., Dordr. 343, 227--237 (1995; Zbl 0842.20046) Full Text: arXiv
Eklof, Paul C.; Mekler, A. H.; Shelah, Saharon Hereditarily separable groups and monochromatic uniformization. (English) Zbl 0827.20066 Isr. J. Math. 88, No. 1-3, 213-235 (1994). Reviewer: A.M.Sebel’din (Nizhnij Novgorod) MSC: 20K20 03E35 20K27 PDFBibTeX XMLCite \textit{P. C. Eklof} et al., Isr. J. Math. 88, No. 1--3, 213--235 (1994; Zbl 0827.20066) Full Text: DOI arXiv
Magidor, Menachem; Shelah, Saharon \(\text{Bext}^ 2(G,T)\) can be nontrivial, even assuming GCH. (English) Zbl 0820.20065 Göbel, Rüdiger (ed.) et al., Abelian group theory and related topics. Conference, August 1-7, 1993, Oberwolfach, Germany. Providence, RI: American Mathematical Society. Contemp. Math. 171, 287-294 (1994). Reviewer: I.Kh.Bekker (Tomsk) MSC: 20K20 20K40 03E55 20K27 20K25 03E35 03E50 PDFBibTeX XMLCite \textit{M. Magidor} and \textit{S. Shelah}, Contemp. Math. 171, 287--294 (1994; Zbl 0820.20065) Full Text: arXiv
Eklof, Paul C.; Shelah, Saharon A combinatorial principle equivalent to the existence of non-free Whitehead groups. (English) Zbl 0829.20075 Göbel, Rüdiger (ed.) et al., Abelian group theory and related topics. Conference, August 1-7, 1993, Oberwolfach, Germany. Providence, RI: American Mathematical Society. Contemp. Math. 171, 79-98 (1994). Reviewer: R.Göbel (Essen) MSC: 20K20 03E05 20A15 20K35 03E35 PDFBibTeX XMLCite \textit{P. C. Eklof} and \textit{S. Shelah}, Contemp. Math. 171, 79--98 (1994; Zbl 0829.20075) Full Text: arXiv
Magidor, Menachem; Shelah, Saharon When does almost free imply free? (For groups, transversals, etc.). (English) Zbl 0819.20059 J. Am. Math. Soc. 7, No. 4, 769-830 (1994). Reviewer: S.Andreadakis (Athens) MSC: 20K20 20A15 03C25 03C60 03E10 20E05 20K15 03E35 PDFBibTeX XMLCite \textit{M. Magidor} and \textit{S. Shelah}, J. Am. Math. Soc. 7, No. 4, 769--830 (1994; Zbl 0819.20059) Full Text: DOI
Mekler, Alan H.; Shelah, Saharon Every coseparable group may be free. (English) Zbl 0793.20050 Isr. J. Math. 81, No. 1-2, 161-178 (1993). Reviewer: R.Göbel (Essen) MSC: 20K20 03C25 03C60 PDFBibTeX XMLCite \textit{A. H. Mekler} and \textit{S. Shelah}, Isr. J. Math. 81, No. 1--2, 161--178 (1993; Zbl 0793.20050) Full Text: DOI arXiv
Eklof, Paul C.; Mekler, Alan H.; Shelah, Saharon On coherent systems of projections for \(\aleph_ 1\)-separable groups. (English) Zbl 0801.20032 Commun. Algebra 21, No. 1, 343-353 (1993). Reviewer: U.Felgner (Tübingen) MSC: 20K20 20A15 03E35 03E50 20K25 PDFBibTeX XMLCite \textit{P. C. Eklof} et al., Commun. Algebra 21, No. 1, 343--353 (1993; Zbl 0801.20032) Full Text: DOI arXiv
Eklof, P. C.; Mekler, A. H.; Shelah, Saharon Uniformization and the diversity of Whitehead groups. (English) Zbl 0806.20044 Isr. J. Math. 80, No. 3, 301-321 (1992). Reviewer: A.M.Sebel’din (Nizhnij Novgorod) MSC: 20K20 20K27 03E35 03E05 03C60 PDFBibTeX XMLCite \textit{P. C. Eklof} et al., Isr. J. Math. 80, No. 3, 301--321 (1992; Zbl 0806.20044) Full Text: DOI arXiv
Shelah, Saharon Classification theory and the number of non-isomorphic models. 2nd rev. ed. (English) Zbl 0713.03013 Studies in Logic and the Foundations of Mathematics, 92. Amsterdam etc.: North-Holland. xxxiv, 705 p. $ 242.75; Dfl. 425.00 (1990). Reviewer: M.Weese MSC: 03Cxx 03-02 03C45 03C35 03C20 PDFBibTeX XMLCite \textit{S. Shelah}, Classification theory and the number of non-isomorphic models. 2nd rev. ed. Amsterdam etc.: North-Holland (1990; Zbl 0713.03013)
Dugas, M.; Shelah, Saharon E-transitive groups in L. (English) Zbl 0672.20025 Abelian group theory, Proc. 4th Conf., Perth/Aust. 1987, Contemp. Math. 87, 191-199 (1989). Reviewer: J.Hausen MSC: 20K30 20K20 03E45 PDFBibTeX XML
Grossberg, Rami; Shelah, Saharon On the structure of \(Ext_ p(G,{\mathbb{Z}})\). (English) Zbl 0668.20044 J. Algebra 121, No. 1, 117-128 (1989). Reviewer: R.Göbel MSC: 20K35 03E55 20K20 PDFBibTeX XMLCite \textit{R. Grossberg} and \textit{S. Shelah}, J. Algebra 121, No. 1, 117--128 (1989; Zbl 0668.20044) Full Text: DOI
Becker, Thomas; Fuchs, Laszlo; Shelah, Saharon Whitehead modules over domains. (English) Zbl 0651.20061 Forum Math. 1, No. 1, 53-68 (1989). MSC: 20K35 03E45 13C10 03E50 16S20 03C25 13F10 13C05 20K20 PDFBibTeX XMLCite \textit{T. Becker} et al., Forum Math. 1, No. 1, 53--68 (1989; Zbl 0651.20061) Full Text: DOI EuDML
Shelah, Saharon Primitive recursive bounds for van der Waerden numbers. (English) Zbl 0649.05010 J. Am. Math. Soc. 1, No. 3, 683-697 (1988). Reviewer: P.Komjáth MSC: 05A99 05C55 11B25 15A03 03D20 PDFBibTeX XMLCite \textit{S. Shelah}, J. Am. Math. Soc. 1, No. 3, 683--697 (1988; Zbl 0649.05010) Full Text: DOI
Eklof, Paul C.; Shelah, Saharon On groups A such that A\(\oplus Z\) n\(\cong A\). (English) Zbl 0655.20037 Abelian group theory, Proc. 3rd Conf., Oberwolfach/FRG 1985, 149-163 (1987). Reviewer: R.Göbel MSC: 20K25 20K20 PDFBibTeX XML
Mekler, Alan H.; Shelah, Saharon When \(\kappa\)-free implies strongly \(\kappa\)-free. (English) Zbl 0652.20057 Abelian group theory, Proc. 3rd Conf., Oberwolfach/FRG 1985, 137-148 (1987). Reviewer: I.H.Bekker MSC: 20K20 03E55 03E35 20K27 PDFBibTeX XML
Chatzidakis, Z.; Cherlin, G.; Shelah, Saharon; Srour, G.; Wood, C. Orthogonality of types in separably closed fields. (English) Zbl 0645.03029 Classification theory, Proc. U.S.-Israel Workshop on Model Theory in Math. Logic, Chicago/IL 1985, Lect. Notes Math. 1292, 78-88 (1987). Reviewer: Ch.Berline MSC: 03C60 03C45 12L12 PDFBibTeX XML
Eklof, Paul C.; Mekler, Alan H.; Shelah, Saharon On strongly-non-reflexive groups. (English) Zbl 0643.20034 Isr. J. Math. 59, 283-298 (1987). Reviewer: R.Göbel MSC: 20K30 03E45 20K20 PDFBibTeX XMLCite \textit{P. C. Eklof} et al., Isr. J. Math. 59, 283--298 (1987; Zbl 0643.20034) Full Text: DOI
Shelah, Saharon; Soifer, Alexander Countable \(\aleph _ 0\)-indecomposable mixed Abelian groups of finite torsion-free rank. (English) Zbl 0586.20029 J. Algebra 100, 421-429 (1986). Reviewer: P.Schultz MSC: 20K21 20K25 20K99 PDFBibTeX XMLCite \textit{S. Shelah} and \textit{A. Soifer}, J. Algebra 100, 421--429 (1986; Zbl 0586.20029) Full Text: DOI
Shelah, Saharon Incompactness in regular cardinals. (English) Zbl 0617.03025 Notre Dame J. Formal Logic 26, 195-228 (1985). Reviewer: P.Komjáth MSC: 03E05 05A05 20K20 PDFBibTeX XMLCite \textit{S. Shelah}, Notre Dame J. Formal Logic 26, 195--228 (1985; Zbl 0617.03025) Full Text: DOI
Sageev, G.; Shelah, S. On the structure of Ext(A,\({\mathbb{Z}})\) in ZFC. (English) Zbl 0579.20054 J. Symb. Log. 50, 302-315 (1985). Reviewer: I.H.Bekker MSC: 20K20 03E55 03E50 20K35 03E45 03E35 PDFBibTeX XMLCite \textit{G. Sageev} and \textit{S. Shelah}, J. Symb. Log. 50, 302--315 (1985; Zbl 0579.20054) Full Text: DOI
Göbel, Rüdiger; Shelah, Saharon Semi-rigid classes of cotorsion-free Abelian groups. (English) Zbl 0554.20018 J. Algebra 93, 136-150 (1985). Reviewer: Ph.Schultz MSC: 20K20 20K27 03E55 PDFBibTeX XMLCite \textit{R. Göbel} and \textit{S. Shelah}, J. Algebra 93, 136--150 (1985; Zbl 0554.20018) Full Text: DOI
Lachlan, Alistair H.; Shelah, Saharon Stable structures homogeneous for a finite binary language. (English) Zbl 0605.03014 Isr. J. Math. 49, 155-180 (1984). Reviewer: J.Wierzejewski MSC: 03C50 03C45 03C15 PDFBibTeX XMLCite \textit{A. H. Lachlan} and \textit{S. Shelah}, Isr. J. Math. 49, 155--180 (1984; Zbl 0605.03014) Full Text: DOI
Eklof, P. C.; Mekler, A. H.; Shelah, S. Almost disjoint Abelian groups. (English) Zbl 0558.20031 Isr. J. Math. 49, 34-54 (1984). Reviewer: Ph.Schultz MSC: 20K20 20K27 03E65 PDFBibTeX XMLCite \textit{P. C. Eklof} et al., Isr. J. Math. 49, 34--54 (1984; Zbl 0558.20031) Full Text: DOI
Friedman, Sy D.; Shelah, Saharon Tall \(\alpha\)-recursive structures. (English) Zbl 0528.03022 Proc. Am. Math. Soc. 88, 672-678 (1983). MSC: 03C70 03D60 PDFBibTeX XMLCite \textit{S. D. Friedman} and \textit{S. Shelah}, Proc. Am. Math. Soc. 88, 672--678 (1983; Zbl 0528.03022) Full Text: DOI
Shelah, S. On endo-rigid, strongly \(\aleph_1\)-free Abelian groups in \(\aleph_1\). (English) Zbl 0501.03015 Isr. J. Math. 40, 291-295 (1981). MSC: 03C60 20K20 20K30 PDFBibTeX XMLCite \textit{S. Shelah}, Isr. J. Math. 40, 291--295 (1981; Zbl 0501.03015) Full Text: DOI
Sageev, G.; Shelah, S. Weak compactness and the structure of Ext(A,Z). (English) Zbl 0477.20033 Abelian group theory, Proc. Oberwolfach Conf. 1981, Lect. Notes Math. 874, 87-92 (1981). MSC: 20K35 20K20 03E55 PDFBibTeX XML
Shelah, Saharon The consistency of \(\mathrm{Ext}\,(G,\mathbb{Z})=\mathbb{Q}\). (English) Zbl 0464.20043 Isr. J. Math. 39, 74-82 (1981). MSC: 20K35 20K15 03E35 20A15 03E50 PDFBibTeX XMLCite \textit{S. Shelah}, Isr. J. Math. 39, 74--82 (1981; Zbl 0464.20043) Full Text: DOI
Cherlin, G.; Shelah, S. Superstable fields and groups. (English) Zbl 0467.03025 Ann. Math. Logic 18, 227-270 (1980). MSC: 03C60 03C45 PDFBibTeX XMLCite \textit{G. Cherlin} and \textit{S. Shelah}, Ann. Math. Logic 18, 227--270 (1980; Zbl 0467.03025) Full Text: DOI
Shelah, Saharon On uncountable Abelian groups. (English) Zbl 0412.20047 Isr. J. Math. 32, 311-330 (1979). MSC: 20K20 20K25 20K27 20A10 03E35 03E30 03E45 03E50 PDFBibTeX XMLCite \textit{S. Shelah}, Isr. J. Math. 32, 311--330 (1979; Zbl 0412.20047) Full Text: DOI
Devlin, Keith J.; Shelah, Saharon A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\). (English) Zbl 0403.03040 Isr. J. Math. 29, 239-247 (1978). MSC: 03E45 03E50 03E05 20K20 20A15 20K35 PDFBibTeX XMLCite \textit{K. J. Devlin} and \textit{S. Shelah}, Isr. J. Math. 29, 239--247 (1978; Zbl 0403.03040) Full Text: DOI
Hiller, Howard L.; Huber, Martin; Shelah, Saharon The structure of Ext\((A,\mathbb{Z})\) and \(V=L\). (English) Zbl 0366.20041 Math. Z. 162, 39-50 (1978). MSC: 20K40 20K20 20E99 PDFBibTeX XMLCite \textit{H. L. Hiller} et al., Math. Z. 162, 39--50 (1978; Zbl 0366.20041) Full Text: DOI EuDML