Karamdoust, Soudabeh; Myrnouri, Hassan; Pourgholamhossein, Mahmood On the Boolean algebra induced by a unital \(\ell\)-group. (English) Zbl 07808925 Algebra Univers. 85, No. 2, Paper No. 16, 15 p. (2024). MSC: 06F20 06D35 03G10 PDFBibTeX XMLCite \textit{S. Karamdoust} et al., Algebra Univers. 85, No. 2, Paper No. 16, 15 p. (2024; Zbl 07808925) Full Text: DOI
Pastuszak, Grzegorz Corrigendum to: “On Krull-Gabriel dimension and Galois coverings”. (English) Zbl 07801733 Adv. Math. 438, Article ID 109464, 6 p. (2024). MSC: 16G20 18E10 03C60 PDFBibTeX XMLCite \textit{G. Pastuszak}, Adv. Math. 438, Article ID 109464, 6 p. (2024; Zbl 07801733) Full Text: DOI
Asgharzadeh, Mohsen; Golshani, Mohammad; Shelah, Saharon Co-Hopfian and boundedly endo-rigid mixed abelian groups. (English) Zbl 07818421 Pac. J. Math. 327, No. 2, 183-232 (2023). MSC: 03E75 16S50 20K30 PDFBibTeX XMLCite \textit{M. Asgharzadeh} et al., Pac. J. Math. 327, No. 2, 183--232 (2023; Zbl 07818421) Full Text: DOI arXiv
Wynne, Brian New axioms for the lattice-ordered groups existentially closed in \(\mathbf{W}^+\). (English) Zbl 07797404 Fundam. Math. 263, No. 1, 91-104 (2023). MSC: 03C60 06F20 PDFBibTeX XMLCite \textit{B. Wynne}, Fundam. Math. 263, No. 1, 91--104 (2023; Zbl 07797404) Full Text: DOI
Vicaría, Mariana Elimination of imaginaries in ordered abelian groups with bounded regular rank. (English) Zbl 07781917 J. Symb. Log. 88, No. 4, 1639-1654 (2023). MSC: 03C64 03C68 PDFBibTeX XMLCite \textit{M. Vicaría}, J. Symb. Log. 88, No. 4, 1639--1654 (2023; Zbl 07781917) Full Text: DOI arXiv
Berraho, Mourad The surjectivity and the continuity of definable functions in some definably complete locally o-minimal expansions and the Grothendieck ring of almost o-minimal structures. (English) Zbl 07765600 Rad Hrvat. Akad. Znan. Umjet. 555, Mat. Znan. 27, 1-9 (2023). Reviewer: Fujita Masato (Kure) MSC: 03C64 PDFBibTeX XMLCite \textit{M. Berraho}, Rad Hrvat. Akad. Znan. Umjet., Mat. Znan. 555(27), 1--9 (2023; Zbl 07765600) Full Text: DOI
Jenei, Sándor Correction to: “Group representation for even and odd involutive commutative residuated chains”. (English) Zbl 1522.06027 Stud. Log. 111, No. 5, 897-898 (2023). MSC: 06F05 06F20 03B47 PDFBibTeX XMLCite \textit{S. Jenei}, Stud. Log. 111, No. 5, 897--898 (2023; Zbl 1522.06027) Full Text: DOI OA License
Krapp, Lothar Sebastian; Kuhlmann, Salma; Link, Moritz Definability of Henselian valuations by conditions on the value group. (English) Zbl 07735945 J. Symb. Log. 88, No. 3, 1064-1082 (2023). MSC: 03C40 03C64 12J10 12L12 12J25 13J15 PDFBibTeX XMLCite \textit{L. S. Krapp} et al., J. Symb. Log. 88, No. 3, 1064--1082 (2023; Zbl 07735945) Full Text: DOI arXiv
Zapryagaev, A. A. On interpretations of Presburger arithmetic in Büchi arithmetics. (English. Russian original) Zbl 07735225 Dokl. Math. 107, No. 2, 89-92 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 510, 3-7 (2023). MSC: 03Dxx 68Qxx 03-XX PDFBibTeX XMLCite \textit{A. A. Zapryagaev}, Dokl. Math. 107, No. 2, 89--92 (2023; Zbl 07735225); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 510, 3--7 (2023) Full Text: DOI
Berger, Sören; Block, Alexander Christensen; Löwe, Benedikt The modal logic of abelian groups. (English) Zbl 07722305 Algebra Univers. 84, No. 3, Paper No. 25, 12 p. (2023). MSC: 03B45 20A99 08A99 PDFBibTeX XMLCite \textit{S. Berger} et al., Algebra Univers. 84, No. 3, Paper No. 25, 12 p. (2023; Zbl 07722305) Full Text: DOI
Mangraviti, Franci; Tedder, Andrew Consistent theories in inconsistent logics. (English) Zbl 07721418 J. Philos. Log. 52, No. 4, 1133-1148 (2023). MSC: 03-XX PDFBibTeX XMLCite \textit{F. Mangraviti} and \textit{A. Tedder}, J. Philos. Log. 52, No. 4, 1133--1148 (2023; Zbl 07721418) Full Text: DOI
Allison, Shaun; Shani, Assaf Actions of tame abelian product groups. (English) Zbl 07712960 J. Math. Log. 23, No. 3, Article ID 2250028, 25 p. (2023). MSC: 03E15 54H05 03E25 03E47 03E75 03C15 PDFBibTeX XMLCite \textit{S. Allison} and \textit{A. Shani}, J. Math. Log. 23, No. 3, Article ID 2250028, 25 p. (2023; Zbl 07712960) Full Text: DOI arXiv
Barbieri-Viale, Luca Universal cohomology theories. (English) Zbl 1521.18005 Commun. Algebra 51, No. 8, 3314-3345 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18E10 14F99 55N35 03C60 PDFBibTeX XMLCite \textit{L. Barbieri-Viale}, Commun. Algebra 51, No. 8, 3314--3345 (2023; Zbl 1521.18005) Full Text: DOI arXiv
Currie, James; Ochem, Pascal; Rampersad, Narad; Shallit, Jeffrey Properties of a ternary infinite word. (English) Zbl 1527.11021 RAIRO, Theor. Inform. Appl. 57, Paper No. 1, 17 p. (2023). Reviewer: Jean-Paul Allouche (Paris) MSC: 11B85 68R15 03D05 68Q45 PDFBibTeX XMLCite \textit{J. Currie} et al., RAIRO, Theor. Inform. Appl. 57, Paper No. 1, 17 p. (2023; Zbl 1527.11021) Full Text: DOI arXiv
Bossaller, Daniel; Herden, Daniel; Pasi, Alexandra V. Forcing a basis into \(\aleph_1\)-free groups. (English) Zbl 1521.20118 J. Algebra 627, 43-57 (2023). MSC: 20K20 03E35 03E40 13C10 20K25 PDFBibTeX XMLCite \textit{D. Bossaller} et al., J. Algebra 627, 43--57 (2023; Zbl 1521.20118) Full Text: DOI arXiv
Aslanyan, Vahagn; Kirby, Jonathan; Mantova, Vincenzo A geometric approach to some systems of exponential equations. (English) Zbl 1528.11046 Int. Math. Res. Not. 2023, No. 5, 4046-4081 (2023). Reviewer: Luc Bélair (Montréal) MSC: 11G10 03C60 11U09 12L12 PDFBibTeX XMLCite \textit{V. Aslanyan} et al., Int. Math. Res. Not. 2023, No. 5, 4046--4081 (2023; Zbl 1528.11046) Full Text: DOI arXiv
Sipacheva, Ol’ga Topological groups with strong disconnectedness properties. (English) Zbl 1516.54015 Topology Appl. 329, Article ID 108379, 8 p. (2023). Reviewer: K. P. Hart (Delft) MSC: 54H11 03E35 54A35 54G05 PDFBibTeX XMLCite \textit{O. Sipacheva}, Topology Appl. 329, Article ID 108379, 8 p. (2023; Zbl 1516.54015) Full Text: DOI arXiv
Calderoni, Filippo; Marker, David; Motto Ros, Luca; Shani, Assaf Anti-classification results for groups acting freely on the line. (English) Zbl 07666840 Adv. Math. 418, Article ID 108938, 45 p. (2023). MSC: 03E15 03E30 03E75 03C15 03C64 06F15 06F20 20F60 54H05 PDFBibTeX XMLCite \textit{F. Calderoni} et al., Adv. Math. 418, Article ID 108938, 45 p. (2023; Zbl 07666840) Full Text: DOI arXiv
Chavarria, Nicolas; Pillay, Anand On pp-elimination and stability in a continuous setting. (English) Zbl 07662886 Ann. Pure Appl. Logic 174, No. 5, Article ID 103258, 14 p. (2023). MSC: 03C10 03C45 03C65 03C66 PDFBibTeX XMLCite \textit{N. Chavarria} and \textit{A. Pillay}, Ann. Pure Appl. Logic 174, No. 5, Article ID 103258, 14 p. (2023; Zbl 07662886) Full Text: DOI arXiv
Wehrung, Friedrich Real spectrum versus \(\ell\)-spectrum via Brumfiel spectrum. (English) Zbl 07659752 Algebr. Represent. Theory 26, No. 1, 137-158 (2023). MSC: 06D05 06D50 06F20 03E05 06D35 PDFBibTeX XMLCite \textit{F. Wehrung}, Algebr. Represent. Theory 26, No. 1, 137--158 (2023; Zbl 07659752) Full Text: DOI arXiv
Metcalfe, George; Reggio, Luca Model completions for universal classes of algebras: necessary and sufficient conditions. (English) Zbl 1516.03011 J. Symb. Log. 88, No. 1, 381-417 (2023). Reviewer: Rosario Mennuni (Pisa) MSC: 03C10 03C05 03C40 03C64 03B47 06D35 06F20 PDFBibTeX XMLCite \textit{G. Metcalfe} and \textit{L. Reggio}, J. Symb. Log. 88, No. 1, 381--417 (2023; Zbl 1516.03011) Full Text: DOI arXiv
Campercholi, Miguel; Castaño, Diego Nicolás; Díaz Varela, José Patricio; Gispert, Joan Algebraic expansions of logics. (English) Zbl 07657275 J. Symb. Log. 88, No. 1, 74-92 (2023). MSC: 03G27 06D35 06F20 PDFBibTeX XMLCite \textit{M. Campercholi} et al., J. Symb. Log. 88, No. 1, 74--92 (2023; Zbl 07657275) Full Text: DOI
Lenzi, Giacomo; Vitale, Gaetano Logical complexity of spectra of abelian \(\ell\)-groups. (English) Zbl 1515.06028 J. Appl. Log. - IfCoLog J. Log. Appl. 10, No. 1, 29-35 (2023). MSC: 06F20 03B16 06B10 06D05 PDFBibTeX XMLCite \textit{G. Lenzi} and \textit{G. Vitale}, J. Appl. Log. - IfCoLog J. Log. Appl. 10, No. 1, 29--35 (2023; Zbl 1515.06028) Full Text: Link
Scowcroft, Philip Adjunction of a strong unit to a hyper-Archimedean lattice-ordered group. (English) Zbl 07653686 Algebra Univers. 84, No. 1, Paper No. 8, 36 p. (2023). MSC: 06F20 03C80 PDFBibTeX XMLCite \textit{P. Scowcroft}, Algebra Univers. 84, No. 1, Paper No. 8, 36 p. (2023; Zbl 07653686) Full Text: DOI
Barroero, Fabrizio; Kühne, Lars; Schmidt, Harry Unlikely intersections of curves with algebraic subgroups in semiabelian varieties. (English) Zbl 1518.11046 Sel. Math., New Ser. 29, No. 2, Paper No. 18, 37 p. (2023). Reviewer: Xiao Xiao (Utica) MSC: 11G10 03C64 11G50 14G40 14K99 PDFBibTeX XMLCite \textit{F. Barroero} et al., Sel. Math., New Ser. 29, No. 2, Paper No. 18, 37 p. (2023; Zbl 1518.11046) Full Text: DOI arXiv
Lupini, Martino; Melnikov, Alexander; Nies, Andre Computable topological abelian groups. (English) Zbl 07622334 J. Algebra 615, 278-327 (2023). MSC: 03D45 03C57 22D05 PDFBibTeX XMLCite \textit{M. Lupini} et al., J. Algebra 615, 278--327 (2023; Zbl 07622334) Full Text: DOI arXiv
Wagstaffe, Rose A monoidal analogue of the 2-category anti-equivalence between \(\mathbb{ABEX}\) and \(\mathbb{DEF} \). (English) Zbl 1503.18005 J. Pure Appl. Algebra 227, No. 3, Article ID 107210, 32 p. (2023). Reviewer: Amit Kuber (Kanpur) MSC: 18D15 18E10 16D90 03C60 13C60 PDFBibTeX XMLCite \textit{R. Wagstaffe}, J. Pure Appl. Algebra 227, No. 3, Article ID 107210, 32 p. (2023; Zbl 1503.18005) Full Text: DOI arXiv
Hossain, Akash Forking and invariant types in regular ordered Abelian groups. arXiv:2312.12279 Preprint, arXiv:2312.12279 [math.LO] (2023). MSC: 03C64 06F20 BibTeX Cite \textit{A. Hossain}, ``Forking and invariant types in regular ordered Abelian groups'', Preprint, arXiv:2312.12279 [math.LO] (2023) Full Text: arXiv OA License
Al-Hellawi, Layth; Alvir, Rachael; Csima, Barbara F.; Xie, Xinyue Effectiveness of Walker’s Cancellation Theorem. arXiv:2309.01844 Preprint, arXiv:2309.01844 [math.LO] (2023). MSC: 03C57 03D45 20K25 BibTeX Cite \textit{L. Al-Hellawi} et al., ``Effectiveness of Walker's Cancellation Theorem'', Preprint, arXiv:2309.01844 [math.LO] (2023) Full Text: arXiv OA License
Darji, Udayan B.; Elekes, Márton; Kátay, Tamás; Kocsis, Anett; Pálfy, Máté Generic isomorphism classes of abelian groups. arXiv:2306.05214 Preprint, arXiv:2306.05214 [math.LO] (2023). MSC: 22B99 54E52 22C05 54H05 03E15 BibTeX Cite \textit{U. B. Darji} et al., ``Generic isomorphism classes of abelian groups'', Preprint, arXiv:2306.05214 [math.LO] (2023) Full Text: arXiv OA License
Krapp, Lothar Sebastian; Kuhlmann, Salma Ordered transexponential fields. arXiv:2305.04607 Preprint, arXiv:2305.04607 [math.LO] (2023). MSC: 12J25 03C64 12J15 26A12 06F20 12L12 BibTeX Cite \textit{L. S. Krapp} and \textit{S. Kuhlmann}, ``Ordered transexponential fields'', Preprint, arXiv:2305.04607 [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
Binyamini, Gal; Jones, Gareth O.; Schmidt, Harry; Thomas, Margaret E. M. An effective Pila-Wilkie theorem for sets definable using Pfaffian functions, with some diophantine applications. arXiv:2301.09883 Preprint, arXiv:2301.09883 [math.NT] (2023). MSC: 03C64 11G15 11G18 11U09 BibTeX Cite \textit{G. Binyamini} et al., ``An effective Pila-Wilkie theorem for sets definable using Pfaffian functions, with some diophantine applications'', Preprint, arXiv:2301.09883 [math.NT] (2023) Full Text: arXiv OA License
Herden, D.; Pasi, A. V. On the absoluteness of \(\aleph_1\)-freeness. (English. Russian original) Zbl 07738536 Algebra Logic 61, No. 5, 351-362 (2022); translation from Algebra Logika 61, No. 5, 523-540 (2022). MSC: 03E75 20K35 PDFBibTeX XMLCite \textit{D. Herden} and \textit{A. V. Pasi}, Algebra Logic 61, No. 5, 351--362 (2022; Zbl 07738536); translation from Algebra Logika 61, No. 5, 523--540 (2022) Full Text: DOI arXiv
Eleftheriou, Pantelis E. Product cones in dense pairs. (English) Zbl 1521.03098 Math. Log. Q. 68, No. 3, 279-287 (2022). MSC: 03C64 03C60 06F20 PDFBibTeX XMLCite \textit{P. E. Eleftheriou}, Math. Log. Q. 68, No. 3, 279--287 (2022; Zbl 1521.03098) Full Text: DOI arXiv OA License
Cox, Sean Salce’s problem on cotorsion pairs is undecidable. (English) Zbl 07729903 Bull. Lond. Math. Soc. 54, No. 4, 1363-1374 (2022). MSC: 03E35 03E75 16B70 16E30 18G25 16D40 16D90 20K40 03E55 PDFBibTeX XMLCite \textit{S. Cox}, Bull. Lond. Math. Soc. 54, No. 4, 1363--1374 (2022; Zbl 07729903) Full Text: DOI arXiv
Scowcroft, Philip \(C(\beta\mathbb{N}\setminus\mathbb{N})\) among the Archimedean \(\ell\)-groups with strong unit. (English) Zbl 07688091 Diss. Math. 582, 1-59 (2022). MSC: 03C60 03C25 06F20 PDFBibTeX XMLCite \textit{P. Scowcroft}, Diss. Math. 582, 1--59 (2022; Zbl 07688091) Full Text: DOI
Bazhenov, Nikolay; Mustafa, Manat Computable embeddability for algebraic structures. (English) Zbl 1509.03109 Asian-Eur. J. Math. 15, No. 7, Article ID 2250126, 20 p. (2022). MSC: 03C57 03D45 PDFBibTeX XMLCite \textit{N. Bazhenov} and \textit{M. Mustafa}, Asian-Eur. J. Math. 15, No. 7, Article ID 2250126, 20 p. (2022; Zbl 1509.03109) Full Text: DOI
Kasymkhanuly, B.; Morozov, A. S. On weakly holographic structures. (English. Russian original) Zbl 07637844 Sib. Math. J. 63, No. 6, 1091-1101 (2022); translation from Sib. Mat. Zh. 63, No. 6, 1276-1289 (2022). MSC: 03Cxx PDFBibTeX XMLCite \textit{B. Kasymkhanuly} and \textit{A. S. Morozov}, Sib. Math. J. 63, No. 6, 1091--1101 (2022; Zbl 07637844); translation from Sib. Mat. Zh. 63, No. 6, 1276--1289 (2022) Full Text: DOI
Hoefnagel, Michael; Jacqmin, Pierre-Alain Matrix taxonomy and Bourn localization. (English) Zbl 07629356 Appl. Categ. Struct. 30, No. 6, 1305-1340 (2022). Reviewer: Jose Avila (Cali) MSC: 18A20 03B35 18E13 18-08 08B05 68V20 03C35 68V05 18A35 18B15 08C05 PDFBibTeX XMLCite \textit{M. Hoefnagel} and \textit{P.-A. Jacqmin}, Appl. Categ. Struct. 30, No. 6, 1305--1340 (2022; Zbl 07629356) Full Text: DOI arXiv
Khoussainov, B.; Melnikov, A. G. Decomposability and computability. (English. Russian original) Zbl 1515.03165 Algebra Logic 61, No. 2, 153-159 (2022); translation from Algebra Logika 61, No. 2, 220-229 (2022). MSC: 03C57 03D45 20K99 PDFBibTeX XMLCite \textit{B. Khoussainov} and \textit{A. G. Melnikov}, Algebra Logic 61, No. 2, 153--159 (2022; Zbl 1515.03165); translation from Algebra Logika 61, No. 2, 220--229 (2022) Full Text: DOI
Porzio, Morena The torsion-free rank of \(\operatorname{Ext}^1(A,\mathbb{Z})\) and Whitehead’s problem. (English) Zbl 1505.13019 Grad. J. Math. 7, No. 1, 10-16 (2022). Reviewer: Qiao Lei (Chengdu) MSC: 13C05 13D07 03E75 13C11 PDFBibTeX XMLCite \textit{M. Porzio}, Grad. J. Math. 7, No. 1, 10--16 (2022; Zbl 1505.13019) Full Text: Link
Khisamiev, N. G.; Roman’kov, V. A.; Tynybekova, S. D. A criterion for effective complete decomposability of abelian groups. (English) Zbl 1513.20060 Eurasian Math. J. 13, No. 2, 62-69 (2022). MSC: 20K25 03C57 03D45 PDFBibTeX XMLCite \textit{N. G. Khisamiev} et al., Eurasian Math. J. 13, No. 2, 62--69 (2022; Zbl 1513.20060) Full Text: DOI MNR
Jenei, Sándor Correction to: “Group representation for even and odd involutive commutative residuated chains”. (English) Zbl 1509.06009 Stud. Log. 110, No. 4, 923-924 (2022). MSC: 06F05 06F20 03B47 PDFBibTeX XMLCite \textit{S. Jenei}, Stud. Log. 110, No. 4, 923--924 (2022; Zbl 1509.06009) Full Text: DOI
Jenei, Sándor Group representation for even and odd involutive commutative residuated chains. (English) Zbl 1509.06008 Stud. Log. 110, No. 4, 881-922 (2022); correction ibid. 110, No. 4, 923-924 (2022); correction ibid. 111, No. 5, 897-898 (2023). MSC: 06F05 06F20 03B47 PDFBibTeX XMLCite \textit{S. Jenei}, Stud. Log. 110, No. 4, 881--922 (2022; Zbl 1509.06008) Full Text: DOI arXiv
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris Revisiting closed asymptotic couples. (English) Zbl 07556006 Proc. Edinb. Math. Soc., II. Ser. 65, No. 2, 530-555 (2022). MSC: 03C10 03C64 06F20 34E05 12H05 12J25 PDFBibTeX XMLCite \textit{M. Aschenbrenner} et al., Proc. Edinb. Math. Soc., II. Ser. 65, No. 2, 530--555 (2022; Zbl 07556006) Full Text: DOI arXiv
Aschenbrenner, Matthias; Chernikov, Artem; Gehret, Allen; Ziegler, Martin Distality in valued fields and related structures. (English) Zbl 1498.03073 Trans. Am. Math. Soc. 375, No. 7, 4641-4710 (2022). Reviewer: Assaf Hasson (Be’er Sheva) MSC: 03C45 03C60 12L12 12J10 03C64 03C10 06F20 PDFBibTeX XMLCite \textit{M. Aschenbrenner} et al., Trans. Am. Math. Soc. 375, No. 7, 4641--4710 (2022; Zbl 1498.03073) Full Text: DOI arXiv
Brakensiek, Joshua; Gopi, Sivakanth; Guruswami, Venkatesan Constraint satisfaction problems with global modular constraints: algorithms and hardness via polynomial representations. (English) Zbl 07538272 SIAM J. Comput. 51, No. 3, 577-626 (2022). MSC: 68Q25 94B05 20K01 68W20 08A70 03B70 12Y05 PDFBibTeX XMLCite \textit{J. Brakensiek} et al., SIAM J. Comput. 51, No. 3, 577--626 (2022; Zbl 07538272) Full Text: DOI
Cotton, Michael R. Abelian group actions and hypersmooth equivalence relations. (English) Zbl 07538231 Ann. Pure Appl. Logic 173, No. 8, Article ID 103122, 26 p. (2022). MSC: 03E15 22B05 54H05 54H11 PDFBibTeX XMLCite \textit{M. R. Cotton}, Ann. Pure Appl. Logic 173, No. 8, Article ID 103122, 26 p. (2022; Zbl 07538231) Full Text: DOI arXiv
Hoefnagel, Michael; Jacqmin, Pierre-Alain; Janelidze, Zurab The matrix taxonomy of finitely complete categories. (English) Zbl 1499.18018 Theory Appl. Categ. 38, 737-790 (2022). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18E13 08B05 18-08 68V20 03G30 68V05 18A35 18B15 03C35 08C05 PDFBibTeX XMLCite \textit{M. Hoefnagel} et al., Theory Appl. Categ. 38, 737--790 (2022; Zbl 1499.18018) Full Text: arXiv Link
Evetts, Alex; Levine, Alex Equations in virtually abelian groups: languages and growth. (English) Zbl 07525088 Int. J. Algebra Comput. 32, No. 3, 411-442 (2022). MSC: 03D05 20F10 20F65 20K35 68Q45 PDFBibTeX XMLCite \textit{A. Evetts} and \textit{A. Levine}, Int. J. Algebra Comput. 32, No. 3, 411--442 (2022; Zbl 07525088) Full Text: DOI arXiv
Corson, Samuel M. Bi-orders do not arise from total orders. (English) Zbl 07496490 Can. Math. Bull. 65, No. 1, 217-224 (2022). MSC: 03E25 06F15 06F20 PDFBibTeX XMLCite \textit{S. M. Corson}, Can. Math. Bull. 65, No. 1, 217--224 (2022; Zbl 07496490) Full Text: DOI
Kusraev, A. G.; Kutateladze, S. S. Erased Kantorovich spaces. (English. Russian original) Zbl 1492.46002 Sib. Math. J. 63, No. 1, 102-118 (2022); translation from Sib. Mat. Zh. 63, No. 1, 123-144 (2022). MSC: 46A40 06F20 03C90 47B60 PDFBibTeX XMLCite \textit{A. G. Kusraev} and \textit{S. S. Kutateladze}, Sib. Math. J. 63, No. 1, 102--118 (2022; Zbl 1492.46002); translation from Sib. Mat. Zh. 63, No. 1, 123--144 (2022) Full Text: DOI
Dobrowolski, Jan; Mennuni, Rosario The Amalgamation Property for automorphisms of ordered abelian groups. arXiv:2209.03944 Preprint, arXiv:2209.03944 [math.LO] (2022). MSC: 06F20 03C60 03C45 03C64 BibTeX Cite \textit{J. Dobrowolski} and \textit{R. Mennuni}, ``The Amalgamation Property for automorphisms of ordered abelian groups'', Preprint, arXiv:2209.03944 [math.LO] (2022) Full Text: arXiv OA License
Herzog, Ivo; Mazari-Armida, Marcos A countable universal torsion abelian group for purity. arXiv:2208.13913 Preprint, arXiv:2208.13913 [math.GR] (2022). MSC: 20K30 03C45 03C48 03C60 13L05 BibTeX Cite \textit{I. Herzog} and \textit{M. Mazari-Armida}, ``A countable universal torsion abelian group for purity'', Preprint, arXiv:2208.13913 [math.GR] (2022) Full Text: arXiv OA License
Bell, Jason; Ingalls, Colin; Moosa, Rahim; Satriano, Matthew A differential analogue of the wild automorphism conjecture. arXiv:2211.02122 Preprint, arXiv:2211.02122 [math.AG] (2022). MSC: 12H05 03C98 32M25 13N15 11J95 BibTeX Cite \textit{J. Bell} et al., ``A differential analogue of the wild automorphism conjecture'', Preprint, arXiv:2211.02122 [math.AG] (2022) Full Text: arXiv OA License
Hoefnagel, Michael; Jacqmin, Pierre-Alain When a matrix condition implies the Mal’tsev property. arXiv:2208.09516 Preprint, arXiv:2208.09516 [math.CT] (2022). MSC: 18E13 08B05 03C05 18-08 18A35 18E08 18C05 08A55 08C10 BibTeX Cite \textit{M. Hoefnagel} and \textit{P.-A. Jacqmin}, ``When a matrix condition implies the Mal'tsev property'', Preprint, arXiv:2208.09516 [math.CT] (2022) Full Text: arXiv OA License
Montaruli, Anna Giulia Towards constructivising the Freyd-Mitchell embedding theorem. arXiv:2203.12490 Preprint, arXiv:2203.12490 [math.CT] (2022). MSC: 18E10 03G30 18E20 03F65 BibTeX Cite \textit{A. G. Montaruli}, ``Towards constructivising the Freyd-Mitchell embedding theorem'', Preprint, arXiv:2203.12490 [math.CT] (2022) Full Text: arXiv OA License
Gregory, Lorna Dimensions on Lattice Ordered Abelian Groups and Model Theory of Modules over Prüfer Domains. arXiv:2202.08339 Preprint, arXiv:2202.08339 [math.AC] (2022). MSC: 03C60 06F20 13F05 BibTeX Cite \textit{L. Gregory}, ``Dimensions on Lattice Ordered Abelian Groups and Model Theory of Modules over Pr\"ufer Domains'', Preprint, arXiv:2202.08339 [math.AC] (2022) Full Text: arXiv OA License
d’Elbée, Christian Generic expansion of an abelian variety by a subgroup. (English) Zbl 1521.03066 Math. Log. Q. 67, No. 4, 402-408 (2021). MSC: 03C45 03C60 14K05 PDFBibTeX XMLCite \textit{C. d'Elbée}, Math. Log. Q. 67, No. 4, 402--408 (2021; Zbl 1521.03066) Full Text: DOI arXiv
Glavosits, T.; Karácsony, Zs. Sums and products of intervals in ordered semigroups. (English) Zbl 07660050 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 29, No. 2, 187-198 (2021). MSC: 06F05 39B22 03E04 06F15 12J15 PDFBibTeX XMLCite \textit{T. Glavosits} and \textit{Zs. Karácsony}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 29, No. 2, 187--198 (2021; Zbl 07660050) Full Text: DOI
Kusraev, Anatoly G.; Tasoev, Batradz B. On the structure of Archimedean \(f\)-rings. (English) Zbl 1513.06043 Vladikavkaz. Mat. Zh. 23, No. 4, 112-114 (2021). MSC: 06F20 06F25 03C90 46A40 PDFBibTeX XMLCite \textit{A. G. Kusraev} and \textit{B. B. Tasoev}, Vladikavkaz. Mat. Zh. 23, No. 4, 112--114 (2021; Zbl 1513.06043) Full Text: DOI MNR
Krapp, Lothar Sebastian; Kuhlmann, Salma; Lehéricy, Gabriel Ordered fields dense in their real closure and definable convex valuations. (English) Zbl 1521.12009 Forum Math. 33, No. 4, 953-972 (2021). Reviewer: Pablo Cubides Kovacsics (Bogotá) MSC: 12J15 03C64 06F20 12J10 PDFBibTeX XMLCite \textit{L. S. Krapp} et al., Forum Math. 33, No. 4, 953--972 (2021; Zbl 1521.12009) Full Text: DOI arXiv
Coquand, Thierry; Lombardi, Henri; Neuwirth, Stefan Regular entailment relations. (English) Zbl 1515.03226 Heinzmann, Gerhard (ed.) et al., Paul Lorenzen – mathematician and logician. Contributions presented at the workshop, Konstanz, Germany, March 8–9, 2018. Cham: Springer. Log. Epistemol. Unity Sci. 51, 103-114 (2021). MSC: 03G10 06D05 06F15 06F20 03G25 PDFBibTeX XMLCite \textit{T. Coquand} et al., Log. Epistemol. Unity Sci. 51, 103--114 (2021; Zbl 1515.03226) Full Text: DOI arXiv
Hager, Anthony W.; Scowcroft, Philip Adjoining a strong unit to an Archimedean lattice-ordered group. (English) Zbl 1515.06027 Order 38, No. 3, 455-472 (2021). MSC: 06F20 03E17 54C40 54D45 54H10 PDFBibTeX XMLCite \textit{A. W. Hager} and \textit{P. Scowcroft}, Order 38, No. 3, 455--472 (2021; Zbl 1515.06027) Full Text: DOI
Wehrung, Friedrich From noncommutative diagrams to anti-elementary classes. (English) Zbl 1474.18004 J. Math. Log. 21, No. 2, Article ID 2150011, 56 p. (2021). Reviewer: Michel Hébert (Al-Qāhira) MSC: 18A30 03C52 03C75 18A35 03E05 06A07 06A12 06C20 06D22 06D35 06F20 08C05 08A30 16E20 16E50 PDFBibTeX XMLCite \textit{F. Wehrung}, J. Math. Log. 21, No. 2, Article ID 2150011, 56 p. (2021; Zbl 1474.18004) Full Text: DOI arXiv
Eleftheriou, Pantelis E. Pillay’s conjecture for groups definable in weakly o-minimal non-valuational structures. (English) Zbl 07405466 Bull. Lond. Math. Soc. 53, No. 4, 1205-1219 (2021). MSC: 03C60 03C64 06F20 PDFBibTeX XMLCite \textit{P. E. Eleftheriou}, Bull. Lond. Math. Soc. 53, No. 4, 1205--1219 (2021; Zbl 07405466) Full Text: DOI
Melnikov, A. G. New degree spectra of Polish spaces. (English. Russian original) Zbl 07401183 Sib. Math. J. 62, No. 5, 882-894 (2021); translation from Sib. Mat. Zh. 62, No. 5, 1091-1108 (2021). MSC: 03Dxx 03Cxx 20Kxx PDFBibTeX XMLCite \textit{A. G. Melnikov}, Sib. Math. J. 62, No. 5, 882--894 (2021; Zbl 07401183); translation from Sib. Mat. Zh. 62, No. 5, 1091--1108 (2021) Full Text: DOI
Montoli, Andrea; Rodelo, Diana; van der Linden, Tim Intrinsic Schreier special objects. (English) Zbl 1482.18005 Theory Appl. Categ. 36, 514-555 (2021). Reviewer: Ioan Pop (Iaşi) MSC: 18E13 20M32 20J15 03C05 08C05 PDFBibTeX XMLCite \textit{A. Montoli} et al., Theory Appl. Categ. 36, 514--555 (2021; Zbl 1482.18005) Full Text: arXiv Link
Pavlyuk, Inessa Ivanovna; Sudoplatov, Sergeĭ Vladimirovich Formulas and properties for families of theories of abelian groups. (English) Zbl 07392344 Izv. Irkutsk. Gos. Univ., Ser. Mat. 36, 95-109 (2021). MSC: 03C07 20K99 PDFBibTeX XMLCite \textit{I. I. Pavlyuk} and \textit{S. V. Sudoplatov}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 36, 95--109 (2021; Zbl 07392344) Full Text: DOI Link
Ćmiel, Hanna; Kuhlmann, Franz-Viktor; Kuhlmann, Katarzyna A generic approach to measuring the strength of completeness/compactness of various types of spaces and ordered structures. (English) Zbl 1476.54001 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 156, 44 p. (2021). Reviewer: K. P. Hart (Delft) MSC: 54A05 03E25 06A06 06F20 12J15 12J20 47H10 54C10 54C60 54D30 54E50 54H25 PDFBibTeX XMLCite \textit{H. Ćmiel} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 156, 44 p. (2021; Zbl 1476.54001) Full Text: DOI arXiv
Di Nola, Antonio; Dvurečenskij, Anatolij; Lapenta, Serafina An approach to stochastic processes via non-classical logic. (English) Zbl 1491.06023 Ann. Pure Appl. Logic 172, No. 9, Article ID 103012, 22 p. (2021). MSC: 06D35 06F20 03B50 60G20 PDFBibTeX XMLCite \textit{A. Di Nola} et al., Ann. Pure Appl. Logic 172, No. 9, Article ID 103012, 22 p. (2021; Zbl 1491.06023) Full Text: DOI
Jacqmin, Pierre-Alain; Janelidze, Zurab On linear exactness properties. (English) Zbl 1472.18002 J. Algebra 583, 38-88 (2021). Reviewer: Panagis Karazeris (Patras) MSC: 18A30 18E13 08B05 18E08 03G30 08A55 18C30 18A40 18C10 18C35 18C05 08C05 PDFBibTeX XMLCite \textit{P.-A. Jacqmin} and \textit{Z. Janelidze}, J. Algebra 583, 38--88 (2021; Zbl 1472.18002) Full Text: DOI
Reggio, Luca Beth definability and the Stone-Weierstrass theorem. (English) Zbl 07358550 Ann. Pure Appl. Logic 172, No. 8, Article ID 102990, 27 p. (2021). MSC: 03B60 46E25 03C40 08A65 06F20 06D35 PDFBibTeX XMLCite \textit{L. Reggio}, Ann. Pure Appl. Logic 172, No. 8, Article ID 102990, 27 p. (2021; Zbl 07358550) Full Text: DOI arXiv
Gartside, Paul Tukey order and diversity of free abelian topological groups. (English) Zbl 1483.22003 J. Pure Appl. Algebra 225, No. 10, Article ID 106712, 13 p. (2021). MSC: 22A05 54H11 03E04 03E15 06A07 PDFBibTeX XMLCite \textit{P. Gartside}, J. Pure Appl. Algebra 225, No. 10, Article ID 106712, 13 p. (2021; Zbl 1483.22003) Full Text: DOI
Myasnikov, Alexei G.; Sohrabi, Mahmood Complete first-order theories of some classical matrix groups over algebraic integers. (English) Zbl 07354482 J. Algebra 582, 206-231 (2021). MSC: 03C60 20F16 PDFBibTeX XMLCite \textit{A. G. Myasnikov} and \textit{M. Sohrabi}, J. Algebra 582, 206--231 (2021; Zbl 07354482) Full Text: DOI
Zlatoš, Pavol Jan Gordon’s conjectures 1 and 2: Pontryagin-van Kampen duality in the hyperfinite setting. (English) Zbl 1486.22006 J. Log. Anal. 13, Paper No. 1, 71 p. (2021). Reviewer: Isaac Goldbring (Irvine) MSC: 22D99 03H05 26E35 28E05 54J05 PDFBibTeX XMLCite \textit{P. J. Zlatoš}, J. Log. Anal. 13, Paper No. 1, 71 p. (2021; Zbl 1486.22006) Full Text: DOI arXiv
D’Aquino, Paola; Derakhshan, Jamshid; Macintyre, Angus Truncations of ordered abelian groups. (English) Zbl 1478.06005 Algebra Univers. 82, No. 2, Paper No. 27, 19 p. (2021). Reviewer: Gerard Leloup (Le Mans) MSC: 06F20 20F60 03C64 03C60 13F30 PDFBibTeX XMLCite \textit{P. D'Aquino} et al., Algebra Univers. 82, No. 2, Paper No. 27, 19 p. (2021; Zbl 1478.06005) Full Text: DOI arXiv
Eleftheriou, Pantelis E. Small sets in Mann pairs. (English) Zbl 1506.03089 Arch. Math. Logic 60, No. 3-4, 317-327 (2021). MSC: 03C64 06F20 03C60 PDFBibTeX XMLCite \textit{P. E. Eleftheriou}, Arch. Math. Logic 60, No. 3--4, 317--327 (2021; Zbl 1506.03089) Full Text: DOI arXiv
Eleftheriou, Pantelis E. Characterizing o-minimal groups in tame expansions of o-minimal structures. (English) Zbl 1473.03020 J. Inst. Math. Jussieu 20, No. 2, 699-724 (2021). Reviewer: Beibut Kulpeshov (Almaty) MSC: 03C64 06F20 03C68 PDFBibTeX XMLCite \textit{P. E. Eleftheriou}, J. Inst. Math. Jussieu 20, No. 2, 699--724 (2021; Zbl 1473.03020) Full Text: DOI arXiv
Wynne, Brian Construction of existentially closed abelian lattice-ordered groups using Fraïssé limits. (English) Zbl 1498.03087 Algebra Univers. 82, No. 1, Paper No. 18, 23 p. (2021). MSC: 03C60 03C25 06F20 PDFBibTeX XMLCite \textit{B. Wynne}, Algebra Univers. 82, No. 1, Paper No. 18, 23 p. (2021; Zbl 1498.03087) Full Text: DOI
Hempel, Nadja; Palacín, Daniel Centralizers in pseudo-finite groups. (English) Zbl 1498.03084 J. Algebra 569, 258-275 (2021). MSC: 03C60 03C20 20F50 20F24 PDFBibTeX XMLCite \textit{N. Hempel} and \textit{D. Palacín}, J. Algebra 569, 258--275 (2021; Zbl 1498.03084) Full Text: DOI arXiv
Mazari-Armida, Marcos A model theoretic solution to a problem of László Fuchs. (English) Zbl 07282595 J. Algebra 567, 196-209 (2021). MSC: 20K30 03C48 03C45 03C60 13L05 PDFBibTeX XMLCite \textit{M. Mazari-Armida}, J. Algebra 567, 196--209 (2021; Zbl 07282595) Full Text: DOI arXiv
Bays, Martin; Dobrowolski, Jan; Zou, Tingxiang Elekes-Szabó for groups, and approximate subgroups in weak general position. arXiv:2107.05547 Preprint, arXiv:2107.05547 [math.CO] (2021). MSC: 05E15 03C98 22E25 14K05 BibTeX Cite \textit{M. Bays} et al., ``Elekes-Szab\'o for groups, and approximate subgroups in weak general position'', Preprint, arXiv:2107.05547 [math.CO] (2021) Full Text: arXiv OA License
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
Prest, Mike Strictly atomic modules in definable categories. arXiv:2109.13750 Preprint, arXiv:2109.13750 [math.RT] (2021). MSC: 18E45 03C60 16D90 16G20 18E08 18E10 BibTeX Cite \textit{M. Prest}, ``Strictly atomic modules in definable categories'', Preprint, arXiv:2109.13750 [math.RT] (2021) Full Text: arXiv OA License
Jenča, Gejza Orthomodular posets are algebras over bounded posets with involution. arXiv:2108.13774 Preprint, arXiv:2108.13774 [math.RA] (2021). MSC: 03G12 06F20 81P10 BibTeX Cite \textit{G. Jenča}, ``Orthomodular posets are algebras over bounded posets with involution'', Preprint, arXiv:2108.13774 [math.RA] (2021) Full Text: DOI arXiv OA License
Paolini, Gianluca; Shelah, Saharon On the Existence of Uncountable Hopfian and co-Hopfian Abelian Groups. arXiv:2107.11290 Preprint, arXiv:2107.11290 [math.GR] (2021). MSC: 20K30 03E75 BibTeX Cite \textit{G. Paolini} and \textit{S. Shelah}, ``On the Existence of Uncountable Hopfian and co-Hopfian Abelian Groups'', Preprint, arXiv:2107.11290 [math.GR] (2021) Full Text: arXiv OA License
Liccardo, Martina Ordered abelian groups that do not have elimination of imaginaries. arXiv:2105.14646 Preprint, arXiv:2105.14646 [math.LO] (2021). MSC: 03C60 03C64 06F20 BibTeX Cite \textit{M. Liccardo}, ``Ordered abelian groups that do not have elimination of imaginaries'', Preprint, arXiv:2105.14646 [math.LO] (2021) Full Text: arXiv OA License
Gallinaro, Francesco Solving Systems of Equations of Raising-to-Powers Type. arXiv:2103.15675 Preprint, arXiv:2103.15675 [math.LO] (2021). MSC: 03C60 11F03 14K12 BibTeX Cite \textit{F. Gallinaro}, ``Solving Systems of Equations of Raising-to-Powers Type'', Preprint, arXiv:2103.15675 [math.LO] (2021) Full Text: arXiv OA License
Barriga, Eliana Extensions of definable local homomorphisms in o-minimal structures and semialgebraic groups. arXiv:2101.06782 Preprint, arXiv:2101.06782 [math.LO] (2021). MSC: 03C64 20G20 22E15 03C68 22B99 BibTeX Cite \textit{E. Barriga}, ``Extensions of definable local homomorphisms in o-minimal structures and semialgebraic groups'', Preprint, arXiv:2101.06782 [math.LO] (2021) Full Text: arXiv OA License
Akofor, Earnest Basic Set Theory and Algebra: Hints on Representation, Topology, Geometry, Analysis. arXiv:2101.02031 Preprint, arXiv:2101.02031 [math.CT] (2021). MSC: 03E20 03E30 03E25 03E75 06A05 06A06 18A30 18A05 18E05 18E10 18E20 18E35 18G05 18G10 18G15 18G20 18G80 20F29 16W22 15A21 16G10 54B30 54B40 18F60 46E25 BibTeX Cite \textit{E. Akofor}, ``Basic Set Theory and Algebra: Hints on Representation, Topology, Geometry, Analysis'', Preprint, arXiv:2101.02031 [math.CT] (2021) Full Text: arXiv OA License
Kucera, Thomas G.; Mazari-Armida, Marcos On universal modules with pure embeddings. (English) Zbl 1521.03088 Math. Log. Q. 66, No. 4, 395-408 (2020). MSC: 03C60 03C45 03C48 16D10 20K27 PDFBibTeX XMLCite \textit{T. G. Kucera} and \textit{M. Mazari-Armida}, Math. Log. Q. 66, No. 4, 395--408 (2020; Zbl 1521.03088) Full Text: DOI arXiv
Marchuk, Margarita Igorevna Index set of autostable ordered abelian groups. (Russian) Zbl 1505.03081 Mat. Tr. 23, No. 1, 169-176 (2020). MSC: 03C57 03D45 20K99 PDFBibTeX XMLCite \textit{M. I. Marchuk}, Mat. Tr. 23, No. 1, 169--176 (2020; Zbl 1505.03081) Full Text: DOI MNR
Mundici, Daniele Computing on lattice-ordered abelian groups. (English) Zbl 07614728 Blass, Andreas (ed.) et al., Fields of logic and computation III. Essays dedicated to Yuri Gurevich on the occasion of his 80th birthday. Cham: Springer. Lect. Notes Comput. Sci. 12180, 210-225 (2020). MSC: 03B70 68Qxx PDFBibTeX XMLCite \textit{D. Mundici}, Lect. Notes Comput. Sci. 12180, 210--225 (2020; Zbl 07614728) Full Text: DOI
Pourgholamhossein, Mahmood; Ranjbar, Mohammad Ali Unital topology on a unital \(l\)-group. (English) Zbl 1485.54040 Math. Slovaca 70, No. 5, 1189-1196 (2020). Reviewer: Fucai Lin (Zhangzhou) MSC: 54H11 06F20 03G10 46A40 46B42 46B40 PDFBibTeX XMLCite \textit{M. Pourgholamhossein} and \textit{M. A. Ranjbar}, Math. Slovaca 70, No. 5, 1189--1196 (2020; Zbl 1485.54040) Full Text: DOI
Dimitric, Radoslav Kappa-slender modules. (English) Zbl 1475.16012 Commun. Math. 28, No. 1, 1-12 (2020). MSC: 16D80 18A20 03C20 03E10 20K25 PDFBibTeX XMLCite \textit{R. Dimitric}, Commun. Math. 28, No. 1, 1--12 (2020; Zbl 1475.16012) Full Text: DOI arXiv
Wald, Burkhard Linear forms in a playful universe. (English) Zbl 1486.03092 Rend. Semin. Mat. Univ. Padova 144, 271-279 (2020). MSC: 03E75 03E60 20K25 54E52 PDFBibTeX XMLCite \textit{B. Wald}, Rend. Semin. Mat. Univ. Padova 144, 271--279 (2020; Zbl 1486.03092) Full Text: DOI
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
Nowak, Krzysztof Jan A closedness theorem over Henselian fields with analytic structure and its applications. (English) Zbl 1460.32047 Gładki, Paweł (ed.) et al., Algebra, logic and number theory. Proceedings of the 5th joint conferences, Będlewo, Poland, June 24–29, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 121, 141-149 (2020). MSC: 32P05 32B05 14G22 03C98 32S45 14E15 PDFBibTeX XMLCite \textit{K. J. Nowak}, Banach Cent. Publ. 121, 141--149 (2020; Zbl 1460.32047) Full Text: DOI