Bhardwaj, Neer; Dries, Lou van den Analytic Ax-Kochen-Ersov theory with lifts of the residue field and value group. arXiv:2401.04094 Preprint, arXiv:2401.04094 [math.LO] (2024). MSC: 03C10 32B05 03C60 12J25 13J15 13L05 BibTeX Cite \textit{N. Bhardwaj} and \textit{L. van den Dries}, ``Analytic Ax-Kochen-Ersov theory with lifts of the residue field and value group'', Preprint, arXiv:2401.04094 [math.LO] (2024) Full Text: arXiv OA License
Anscombe, Sylvy; Dittmann, Philip; Fehm, Arno Axiomatizing the existential theory of \(\mathbb{F}_q((t))\). (English) Zbl 07783172 Algebra Number Theory 17, No. 11, 2013-2032 (2023). MSC: 03C60 11D88 11G25 12L05 PDFBibTeX XMLCite \textit{S. Anscombe} et al., Algebra Number Theory 17, No. 11, 2013--2032 (2023; Zbl 07783172) Full Text: DOI arXiv
Touchard, Pierre Burden in Henselian valued fields. (English) Zbl 07741121 Ann. Pure Appl. Logic 174, No. 10, Article ID 103318, 61 p. (2023). MSC: 03C45 03C60 12J10 PDFBibTeX XMLCite \textit{P. Touchard}, Ann. Pure Appl. Logic 174, No. 10, Article ID 103318, 61 p. (2023; Zbl 07741121) Full Text: DOI arXiv
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
Vicaría, Mariana Elimination of imaginaries in \(\mathbb{C}((\Gamma))\). (English) Zbl 1521.12011 J. Lond. Math. Soc., II. Ser. 108, No. 2, 482-544 (2023). MSC: 12L12 03C60 PDFBibTeX XMLCite \textit{M. Vicaría}, J. Lond. Math. Soc., II. Ser. 108, No. 2, 482--544 (2023; Zbl 1521.12011) Full Text: DOI arXiv
Dittmann, Philip; Jahnke, Franziska; Krapp, Lothar Sebastian; Kuhlmann, Salma Definable valuations on ordered fields. (English) Zbl 07721466 Model Theory 2, No. 1, 101-120 (2023). Reviewer: Assaf Hasson (Be’er Sheva) MSC: 13A18 03C64 12J20 12L12 13F25 13J30 PDFBibTeX XMLCite \textit{P. Dittmann} et al., Model Theory 2, No. 1, 101--120 (2023; Zbl 07721466) Full Text: DOI arXiv
Ahn, JinHoo; Kim, Joonhee; Lee, Junguk On the antichain tree property. (English) Zbl 07681052 J. Math. Log. 23, No. 2, Article ID 2250021, 36 p. (2023). MSC: 03C45 03C60 05C25 12J10 PDFBibTeX XMLCite \textit{J. Ahn} et al., J. Math. Log. 23, No. 2, Article ID 2250021, 36 p. (2023; Zbl 07681052) Full Text: DOI arXiv
Anscombe, Sylvy; Jahnke, Franziska The model theory of Cohen rings. (English) Zbl 07669829 Confluentes Math. 14, No. 2, 1-28 (2023). MSC: 03C60 12L12 13H05 PDFBibTeX XMLCite \textit{S. Anscombe} and \textit{F. Jahnke}, Confluentes Math. 14, No. 2, 1--28 (2023; Zbl 07669829) 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
Cluckers, Raf; Halupczok, Immanuel; Rideau-Kikuchi, Silvain Hensel minimality. I. (English) Zbl 07536457 Forum Math. Pi 10, Paper No. e11, 68 p. (2022). MSC: 03C64 03C60 12J20 11D88 14E18 12L12 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Forum Math. Pi 10, Paper No. e11, 68 p. (2022; Zbl 07536457) Full Text: DOI arXiv
Derakhshan, Jamshid; Macintyre, Angus Model theory of adeles. I. (English) Zbl 1525.03096 Ann. Pure Appl. Logic 173, No. 3, Article ID 103074, 43 p. (2022). Reviewer: Alexandra Shlapentokh (Greenville) MSC: 03C60 03C10 11R56 11U09 11R42 11U05 PDFBibTeX XMLCite \textit{J. Derakhshan} and \textit{A. Macintyre}, Ann. Pure Appl. Logic 173, No. 3, Article ID 103074, 43 p. (2022; Zbl 1525.03096) Full Text: DOI arXiv
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
Anscombe, Sylvy; Dittmann, Philip; Fehm, Arno Denseness results in the theory of algebraic fields. (English) Zbl 1498.03083 Ann. Pure Appl. Logic 172, No. 8, Article ID 102973, 20 p. (2021). Reviewer: Piotr Kowalski (Wroclaw) MSC: 03C60 12L12 12J12 12J15 PDFBibTeX XMLCite \textit{S. Anscombe} et al., Ann. Pure Appl. Logic 172, No. 8, Article ID 102973, 20 p. (2021; Zbl 1498.03083) 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
Nowak, Krzysztof Jan A closedness theorem and applications in geometry of rational points over Henselian valued fields. (English) Zbl 1505.12003 J. Singul. 21, 212-233 (2020). MSC: 12J25 03C10 13J15 14A15 14B05 14G27 14P10 PDFBibTeX XMLCite \textit{K. J. Nowak}, J. Singul. 21, 212--233 (2020; Zbl 1505.12003) Full Text: DOI arXiv
Jahnke, Franziska; Simon, Pierre NIP Henselian valued fields. (English) Zbl 1444.03130 Arch. Math. Logic 59, No. 1-2, 167-178 (2020). Reviewer: Luc Bélair (Montréal) MSC: 03C60 03C45 12J10 12L12 PDFBibTeX XMLCite \textit{F. Jahnke} and \textit{P. Simon}, Arch. Math. Logic 59, No. 1--2, 167--178 (2020; Zbl 1444.03130) Full Text: DOI arXiv
Dupont, Katharina; Hasson, Assaf; Kuhlmann, Salma Definable valuations induced by multiplicative subgroups and NIP fields. (English) Zbl 1468.03045 Arch. Math. Logic 58, No. 7-8, 819-839 (2019). MSC: 03C60 03C45 12J10 12L12 PDFBibTeX XMLCite \textit{K. Dupont} et al., Arch. Math. Logic 58, No. 7--8, 819--839 (2019; Zbl 1468.03045) Full Text: DOI arXiv
Halevi, Yatir; Hasson, Assaf Strongly dependent ordered abelian groups and Henselian fields. (English) Zbl 1454.03043 Isr. J. Math. 232, No. 2, 719-758 (2019). Reviewer: Allen Gehret (Los Angeles) MSC: 03C60 12J10 06F20 12L12 03C45 PDFBibTeX XMLCite \textit{Y. Halevi} and \textit{A. Hasson}, Isr. J. Math. 232, No. 2, 719--758 (2019; Zbl 1454.03043) Full Text: DOI arXiv
Halevi, Yatir; Hasson, Assaf Eliminating field quantifiers in strongly dependent Henselian fields. (English) Zbl 1487.03052 Proc. Am. Math. Soc. 147, No. 5, 2213-2230 (2019). Reviewer: Luc Bélair (Montréal) MSC: 03C60 12J20 12L12 PDFBibTeX XMLCite \textit{Y. Halevi} and \textit{A. Hasson}, Proc. Am. Math. Soc. 147, No. 5, 2213--2230 (2019; Zbl 1487.03052) Full Text: DOI arXiv
Anscombe, Sylvy Existentially generated subfields of large fields. (English) Zbl 1431.12009 J. Algebra 517, 78-94 (2019). MSC: 12L12 03C60 12J10 PDFBibTeX XMLCite \textit{S. Anscombe}, J. Algebra 517, 78--94 (2019; Zbl 1431.12009) Full Text: DOI arXiv Link
Hakobyan, Tigran An Ax-Kochen-Ershov theorem for monotone differential-Henselian fields. (English) Zbl 1475.03087 J. Symb. Log. 83, No. 2, 804-816 (2018). Reviewer: Luc Bélair (Montréal) MSC: 03C60 12J10 12L12 PDFBibTeX XMLCite \textit{T. Hakobyan}, J. Symb. Log. 83, No. 2, 804--816 (2018; Zbl 1475.03087) Full Text: DOI arXiv
Dupont, Katharina Definable valuations induced by definable subgroups. (English) Zbl 1436.03197 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. 83-108 (2017). MSC: 03C60 03C40 12J10 12L12 PDFBibTeX XMLCite \textit{K. Dupont}, 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. 83--108 (2017; Zbl 1436.03197) Full Text: DOI arXiv
Onay, Gönenç Valued modules over skew polynomial rings. I. (English) Zbl 1421.03019 J. Symb. Log. 82, No. 4, 1519-1540 (2017). MSC: 03C60 03C10 12J20 16W80 13J15 PDFBibTeX XMLCite \textit{G. Onay}, J. Symb. Log. 82, No. 4, 1519--1540 (2017; Zbl 1421.03019) Full Text: DOI arXiv
Forey, Arthur Motivic local density. (English) Zbl 1423.03136 Math. Z. 287, No. 1-2, 361-403 (2017). MSC: 03C98 12J10 14B05 32B20 03C65 11S80 14J17 PDFBibTeX XMLCite \textit{A. Forey}, Math. Z. 287, No. 1--2, 361--403 (2017; Zbl 1423.03136) Full Text: DOI arXiv
Anscombe, Sylvy; Fehm, Arno Characterizing Diophantine Henselian valuation rings and valuation ideals. (English) Zbl 1436.03192 Proc. Lond. Math. Soc. (3) 115, No. 2, 293-322 (2017). Reviewer: Alexandra Shlapentokh (Greenville) MSC: 03C60 03C40 11D88 11U09 12J10 12L12 14G05 14G20 PDFBibTeX XMLCite \textit{S. Anscombe} and \textit{A. Fehm}, Proc. Lond. Math. Soc. (3) 115, No. 2, 293--322 (2017; Zbl 1436.03192) Full Text: DOI arXiv Link
Jahnke, Franziska; Koenigsmann, Jochen Defining coarsenings of valuations. (English) Zbl 1436.03199 Proc. Edinb. Math. Soc., II. Ser. 60, No. 3, 665-687 (2017). Reviewer: Pablo Cubides Kovacsics (Caen) MSC: 03C60 03C40 12J10 12L12 13F30 PDFBibTeX XMLCite \textit{F. Jahnke} and \textit{J. Koenigsmann}, Proc. Edinb. Math. Soc., II. Ser. 60, No. 3, 665--687 (2017; Zbl 1436.03199) Full Text: DOI arXiv
Jahnke, Franziska; Simon, Pierre; Walsberg, Erik Dp-minimal valued fields. (English) Zbl 1385.03040 J. Symb. Log. 82, No. 1, 151-165 (2017). Reviewer: Peter Sinclair (Hamilton) MSC: 03C60 03C45 03C64 12J12 12J10 12J15 12L12 PDFBibTeX XMLCite \textit{F. Jahnke} et al., J. Symb. Log. 82, No. 1, 151--165 (2017; Zbl 1385.03040) Full Text: DOI arXiv
Anscombe, Sylvy; Fehm, Arno The existential theory of equicharacteristic Henselian valued fields. (English) Zbl 1377.03025 Algebra Number Theory 10, No. 3, 665-683 (2016). Reviewer: Luc Bélair (Montréal) MSC: 03C60 12L12 12J10 11U05 12L05 PDFBibTeX XMLCite \textit{S. Anscombe} and \textit{A. Fehm}, Algebra Number Theory 10, No. 3, 665--683 (2016; Zbl 1377.03025) Full Text: DOI arXiv
Fehm, Arno Existential \(\emptyset\)-definability of Henselian valuation rings. (English) Zbl 1372.03074 J. Symb. Log. 80, No. 1, 301-307 (2015). MSC: 03C60 03C40 12J10 12L12 PDFBibTeX XMLCite \textit{A. Fehm}, J. Symb. Log. 80, No. 1, 301--307 (2015; Zbl 1372.03074) Full Text: DOI arXiv
Jahnke, Franziska; Koenigsmann, Jochen Definable Henselian valuations. (English) Zbl 1372.03078 J. Symb. Log. 80, No. 1, 85-99 (2015). MSC: 03C60 03C40 12J10 12L12 PDFBibTeX XMLCite \textit{F. Jahnke} and \textit{J. Koenigsmann}, J. Symb. Log. 80, No. 1, 85--99 (2015; Zbl 1372.03078) Full Text: DOI arXiv Link
Jahnke, Franziska; Koenigsmann, Jochen Uniformly defining \(p\)-Henselian valuations. (English) Zbl 1372.03077 Ann. Pure Appl. Logic 166, No. 7-8, 741-754 (2015). MSC: 03C60 03C40 12J10 12L12 13J15 PDFBibTeX XMLCite \textit{F. Jahnke} and \textit{J. Koenigsmann}, Ann. Pure Appl. Logic 166, No. 7--8, 741--754 (2015; Zbl 1372.03077) Full Text: DOI arXiv
Halupczok, Immanuel Stratifications in valued fields. (English) Zbl 1345.03069 Campillo, Antonio (ed.) et al., Valuation theory in interaction. Proceedings of the 2nd international conference and workshop on valuation theory, Segovia and El Escorial, Spain, July 18–29, 2011. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-149-1/hbk). EMS Series of Congress Reports, 288-296 (2014). MSC: 03C60 12L12 12J25 14P10 32P05 32S60 PDFBibTeX XMLCite \textit{I. Halupczok}, in: Valuation theory in interaction. Proceedings of the 2nd international conference and workshop on valuation theory, Segovia and El Escorial, Spain, July 18--29, 2011. Zürich: European Mathematical Society (EMS). 288--296 (2014; Zbl 1345.03069)
Anscombe, Will; Koenigsmann, Jochen An existential \(\emptyset\)-definition of \(\mathbb F_q [[t]]\) in \(\mathbb F_q((t))\). (English) Zbl 1353.03025 J. Symb. Log. 79, No. 4, 1336-1343 (2014). MSC: 03C60 03C40 12J10 12L12 PDFBibTeX XMLCite \textit{W. Anscombe} and \textit{J. Koenigsmann}, J. Symb. Log. 79, No. 4, 1336--1343 (2014; Zbl 1353.03025) Full Text: DOI arXiv
Halupczok, Immanuel Non-Archimedean Whitney stratifications. (English) Zbl 1382.03061 Proc. Lond. Math. Soc. (3) 109, No. 5, 1304-1362 (2014). MSC: 03C60 12J25 12L12 32S60 03C98 14G20 14B20 14B05 32P05 PDFBibTeX XMLCite \textit{I. Halupczok}, Proc. Lond. Math. Soc. (3) 109, No. 5, 1304--1362 (2014; Zbl 1382.03061) Full Text: DOI arXiv
Hong, Jizhan Definable non-divisible Henselian valuations. (English) Zbl 1319.03049 Bull. Lond. Math. Soc. 46, No. 1, 14-18 (2014). MSC: 03C40 12E30 12J10 03C60 12L12 13F30 13J15 PDFBibTeX XMLCite \textit{J. Hong}, Bull. Lond. Math. Soc. 46, No. 1, 14--18 (2014; Zbl 1319.03049) Full Text: DOI
Flenner, Joseph Relative decidability and definability in Henselian valued fields. (English) Zbl 1237.03022 J. Symb. Log. 76, No. 4, 1240-1260 (2011). Reviewer: Immanuel Halupczok (Münster) MSC: 03C60 03C10 12J10 12L05 12L12 PDFBibTeX XMLCite \textit{J. Flenner}, J. Symb. Log. 76, No. 4, 1240--1260 (2011; Zbl 1237.03022) Full Text: DOI arXiv
Cluckers, R.; Lipshitz, L. Fields with analytic structure. (English) Zbl 1291.03074 J. Eur. Math. Soc. (JEMS) 13, No. 4, 1147-1223 (2011). Reviewer: Mickaël Matusinski (Bordeaux) MSC: 03C64 03C60 12J99 32C05 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{L. Lipshitz}, J. Eur. Math. Soc. (JEMS) 13, No. 4, 1147--1223 (2011; Zbl 1291.03074) Full Text: DOI arXiv
Hrushovski, Ehud On finite imaginaries. (English) Zbl 1191.03025 Cooper, S. Barry (ed.) et al., Logic colloquium 2006. Proceedings of the annual European summer meeting of the Association for Symbolic Logic (ASL), Nijmegen, Netherlands, July 27–August 2, 2006. Cambridge: Cambridge University Press; Urbana, IL: Association for Symbolic Logic (ASL) (ISBN 978-0-521-11081-5/hbk). Lecture Notes in Logic 32, 195-212 (2009). Reviewer: Immanuel Halupczok (Münster) MSC: 03C60 12J10 12L12 PDFBibTeX XMLCite \textit{E. Hrushovski}, Lect. Notes Log. 32, 195--212 (2009; Zbl 1191.03025) Full Text: arXiv
Yin, Yimu Henselianity and the Denef-Pas language. (English) Zbl 1168.03026 J. Symb. Log. 74, No. 2, 655-664 (2009). Reviewer: Immanuel Halupczok (Paris) MSC: 03C60 03C10 12J10 12L12 PDFBibTeX XMLCite \textit{Y. Yin}, J. Symb. Log. 74, No. 2, 655--664 (2009; Zbl 1168.03026) Full Text: DOI
Cluckers, Raf; Loeser, François \(b\)-minimality. (English) Zbl 1146.03021 J. Math. Log. 7, No. 2, 195-227 (2007). MSC: 03C64 03C10 03C60 11S40 11S80 11U09 12J10 12J12 12L12 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{F. Loeser}, J. Math. Log. 7, No. 2, 195--227 (2007; Zbl 1146.03021) Full Text: DOI arXiv
Guzy, Nicolas Valued fields with \(K\) commuting derivations. (English) Zbl 1109.03030 Commun. Algebra 34, No. 12, 4269-4289 (2006). MSC: 03C60 03C10 12H05 12J10 12L12 PDFBibTeX XMLCite \textit{N. Guzy}, Commun. Algebra 34, No. 12, 4269--4289 (2006; Zbl 1109.03030) Full Text: DOI
Cluckers, Raf; Lipshitz, Leonard; Robinson, Zachary Analytic cell decomposition and analytic motivic integration. (English) Zbl 1168.12006 Ann. Sci. Éc. Norm. Supér. (4) 39, No. 4, 535-568 (2006). Reviewer: Luc Bélair (Montréal) MSC: 12J10 03C10 14E18 12L12 14G20 14G27 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Ann. Sci. Éc. Norm. Supér. (4) 39, No. 4, 535--568 (2006; Zbl 1168.12006) Full Text: DOI arXiv Numdam Numdam EuDML
Kuhlmann, Franz-Viktor Dense subfields of Henselian fields and integer parts. (English) Zbl 1107.03037 Enayat, Ali (ed.) et al., Logic in Tehran. Proceedings of the workshop and conference on logic, algebra and arithmetic, Tehran, Iran, October 18–22, 2003. Wellesley, MA: AK Peters (ISBN 1-56881-296-5/pbk; 1-56881-295-7/hbk). Lecture Notes in Logic 26, 204-226 (2006). MSC: 03C60 12J10 12J15 12L12 PDFBibTeX XMLCite \textit{F.-V. Kuhlmann}, Lect. Notes Log. 26, 204--226 (2006; Zbl 1107.03037) Full Text: arXiv
Kuhlmann, Franz-Viktor Additive polynomials and their role in the model theory of valued fields. (English) Zbl 1107.03036 Enayat, Ali (ed.) et al., Logic in Tehran. Proceedings of the workshop and conference on logic, algebra and arithmetic, Tehran, Iran, October 18–22, 2003. Wellesley, MA: AK Peters (ISBN 1-56881-296-5/pbk; 1-56881-295-7/hbk). Lecture Notes in Logic 26, 160-203 (2006). MSC: 03C60 12J10 12L12 PDFBibTeX XMLCite \textit{F.-V. Kuhlmann}, Lect. Notes Log. 26, 160--203 (2006; Zbl 1107.03036) Full Text: arXiv
Perdry, Hervé Henselian valued fields: a constructive point of view. (English) Zbl 1079.03062 Math. Log. Q. 51, No. 4, 400-416 (2005). MSC: 03F65 12J10 PDFBibTeX XMLCite \textit{H. Perdry}, Math. Log. Q. 51, No. 4, 400--416 (2005; Zbl 1079.03062) Full Text: DOI
Cluckers, Raf Grothendieck rings of Laurent series fields. (English) Zbl 1039.03028 J. Algebra 272, No. 2, 692-700 (2004). MSC: 03C60 12L12 PDFBibTeX XMLCite \textit{R. Cluckers}, J. Algebra 272, No. 2, 692--700 (2004; Zbl 1039.03028) Full Text: DOI arXiv
Scanlon, Thomas Quantifier elimination for the relative Frobenius. (English) Zbl 1040.03031 Kuhlmann, Franz-Viktor (ed.) et al., Valuation theory and its applications. Volume II. Proceedings of the international conference and workshop, University of Saskatchewan, Saskatoon, Canada, July 28–August 11, 1999. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3206-9/hbk). Fields Inst. Commun. 33, 323-352 (2003). Reviewer: Mykola Ya. Komarnytskyy (Lviv) MSC: 03C60 12H10 03C10 12J10 12L12 PDFBibTeX XMLCite \textit{T. Scanlon}, Fields Inst. Commun. 33, 323--352 (2003; Zbl 1040.03031)
Basarab, Şerban A. The arithmetic-arboreal residue structure of a Prüfer domain. I. (English) Zbl 1022.13003 Kuhlmann, Franz-Viktor (ed.) et al., Valuation theory and its applications. Volume I. Proceedings of the international conference and workshop, University of Saskatchewan, Saskatoon, Canada, July 28-August 11, 1999. Providence, RI: American Mathematical Society (AMS). Fields Inst. Commun. 32, 59-79 (2002). Reviewer: Thanases Pheidas (Iraklion) MSC: 13F05 03C10 06F20 12J10 05C05 03C60 PDFBibTeX XMLCite \textit{Ş. A. Basarab}, Fields Inst. Commun. 32, 59--79 (2002; Zbl 1022.13003)
van den Dries, Lou; Kuhlmann, Franz-Viktor Images of additive polynomials in \(\mathbb{F}_q((t))\) have the optimal approximation property. (English) Zbl 1009.12008 Can. Math. Bull. 45, No. 1, 71-79 (2002). Reviewer: G.Pestov (Tomsk) MSC: 12J25 12L12 03C60 PDFBibTeX XMLCite \textit{L. van den Dries} and \textit{F.-V. Kuhlmann}, Can. Math. Bull. 45, No. 1, 71--79 (2002; Zbl 1009.12008) Full Text: DOI
Kuhlmann, Franz-Viktor Elementary properties of power series fields over finite fields. (English) Zbl 0992.03046 J. Symb. Log. 66, No. 2, 771-791 (2001). MSC: 03C60 12L12 PDFBibTeX XMLCite \textit{F.-V. Kuhlmann}, J. Symb. Log. 66, No. 2, 771--791 (2001; Zbl 0992.03046) Full Text: DOI arXiv
Bélair, Luc Types in valued fields with coefficient maps. (Types dans les corps valués munis d’applications coefficients.) (French) Zbl 0927.03067 Ill. J. Math. 43, No. 2, 410-425 (1999). Reviewer: Luc Bélair (Montréal) MSC: 03C60 12J10 03C10 12L12 PDFBibTeX XMLCite \textit{L. Bélair}, Ill. J. Math. 43, No. 2, 410--425 (1999; Zbl 0927.03067)
Delon, Françoise; Farré, Rafel Some model theory for almost real closed fields. (English) Zbl 0874.03045 J. Symb. Log. 61, No. 4, 1121-1152 (1996). Reviewer: T.Pheidas (Iraklion) MSC: 03C60 12L12 12D15 12J10 06F20 03B25 PDFBibTeX XMLCite \textit{F. Delon} and \textit{R. Farré}, J. Symb. Log. 61, No. 4, 1121--1152 (1996; Zbl 0874.03045) Full Text: DOI
Leloup, G. Quantifier elimination in pairs of fields. (Élimination des quantificateurs dans des paires de corps.) (French) Zbl 0832.03023 J. Symb. Log. 60, No. 2, 548-562 (1995). Reviewer: Ch.Michaux (Mons) MSC: 03C60 03C10 12L12 PDFBibTeX XMLCite \textit{G. Leloup}, J. Symb. Log. 60, No. 2, 548--562 (1995; Zbl 0832.03023) Full Text: DOI
Bélair, Luc Rings of \(p\)-adic functions. (Anneaux de fonctions \(p\)-adiques.) (French) Zbl 0868.03017 J. Symb. Log. 60, No. 2, 484-497 (1995). MSC: 03C60 13J07 13L05 12J10 PDFBibTeX XMLCite \textit{L. Bélair}, J. Symb. Log. 60, No. 2, 484--497 (1995; Zbl 0868.03017) Full Text: DOI
Kuhlmann, Franz-Viktor Quantifier elimination for Henselian fields relative to additive and multiplicative congruences. (English) Zbl 0809.03028 Isr. J. Math. 85, No. 1-3, 277-306 (1994). Reviewer: U.Felgner (Tübingen) MSC: 03C60 12L12 12J10 12J12 03C10 PDFBibTeX XMLCite \textit{F.-V. Kuhlmann}, Isr. J. Math. 85, No. 1--3, 277--306 (1994; Zbl 0809.03028) Full Text: DOI
Bélair, Luc Infinitesimally stable theories of henselian rings. (English) Zbl 0792.03023 J. Pure Appl. Algebra 89, No. 3, 237-243 (1993). Reviewer: L.Bélair (Montréal) MSC: 03C60 12L12 13L05 03G30 13J15 PDFBibTeX XMLCite \textit{L. Bélair}, J. Pure Appl. Algebra 89, No. 3, 237--243 (1993; Zbl 0792.03023) Full Text: DOI
van den Dries, Lou Analytic Ax-Kochen-Ershov theorems. (English) Zbl 0835.03004 Algebra, Proc. Int. Conf. Memory A. I. Mal’cev, Novosibirsk/USSR 1989, Contemp. Math. 131, Pt. 3, 379-398 (1992). Reviewer: M.Yasuhara (MR 93i:03041) MSC: 03C10 03C60 13J15 13J07 13L05 12L12 PDFBibTeX XMLCite \textit{L. van den Dries}, Contemp. Math. 131, 379--398 (1992; Zbl 0835.03004)
Basarab, Şerban A. Uniform cell decomposition in Henselian fields of characteristic zero. (English) Zbl 0759.12005 Semin.ber., Humboldt-Univ. Berl., Fachbereich Math. 112, 1-11 (1991). Reviewer: G.Pestov (Tomsk) MSC: 12L12 03C10 12J10 PDFBibTeX XMLCite \textit{Ş. A. Basarab}, Semin.ber., Humboldt-Univ. Berl., Fachbereich Math. 112, 1--11 (1991; Zbl 0759.12005)
Basarab, Serban A. Relative elimination of quantifiers for Henselian valued fields. (English) Zbl 0734.03021 Ann. Pure Appl. Logic 53, No. 1, 51-74 (1991). Reviewer: T.Pheidas (Iraklion) MSC: 03C60 12J10 12L12 03C10 PDFBibTeX XMLCite \textit{S. A. Basarab}, Ann. Pure Appl. Logic 53, No. 1, 51--74 (1991; Zbl 0734.03021) Full Text: DOI
Delon, Françoise; Gondard, Danielle Hilbert’s 17th problem on chain-closed fields. (XVIIème problème de Hilbert sur les corps chaîne-clos.) (French) Zbl 0746.03026 J. Symb. Log. 56, No. 3, 853-861 (1991). MSC: 03C60 12L12 12J10 PDFBibTeX XMLCite \textit{F. Delon} and \textit{D. Gondard}, J. Symb. Log. 56, No. 3, 853--861 (1991; Zbl 0746.03026) Full Text: DOI
Bélair, Luc Anneaux \(p\)-adiquement clos et anneaux de fonctions définissables. (p- adically closed rings and rings of definable functions). (French) Zbl 0746.03025 J. Symb. Log. 56, No. 2, 539-553 (1991). Reviewer: A.Nesin (Irvine) MSC: 03C60 12L12 12J10 PDFBibTeX XMLCite \textit{L. Bélair}, J. Symb. Log. 56, No. 2, 539--553 (1991; Zbl 0746.03025) Full Text: DOI
Delon, Françoise Indécidabilité de la théorie des paires immédiates de corps valués henseliens. (Undecidability of the theory of immediate pairs of Henselian valued fields). (French) Zbl 0746.03028 J. Symb. Log. 56, No. 4, 1236-1242 (1991). Reviewer: T.Pheidas (Iraklion) MSC: 03C60 03B25 12L05 12L12 12J10 PDFBibTeX XMLCite \textit{F. Delon}, J. Symb. Log. 56, No. 4, 1236--1242 (1991; Zbl 0746.03028) Full Text: DOI
Kuhlmann, Franz-Viktor Generalized Ax-Kochen-Ershov-principles. (English) Zbl 0717.03013 Seminarber., Humboldt-Univ. Berlin, Sekt. Math. 110, 113-120 (1990). Reviewer: F.-V.Kuhlmann MSC: 03C60 12L12 12J10 PDFBibTeX XMLCite \textit{F.-V. Kuhlmann}, Seminarber., Humboldt-Univ. Berlin, Sekt. Math. 110, 113--120 (1990; Zbl 0717.03013)
Leloup, Gérard Théories complètes de paires de corps valués henseliens. (Complete theories of pairs of Henselian valued fields). (French) Zbl 0707.03028 J. Symb. Log. 55, No. 1, 323-339 (1990). Reviewer: D.Busneag MSC: 03C60 12L12 PDFBibTeX XMLCite \textit{G. Leloup}, J. Symb. Log. 55, No. 1, 323--339 (1990; Zbl 0707.03028) Full Text: DOI
van den Dries, Lou Dimension of definable sets, algebraic boundedness and Henselian fields. (English) Zbl 0704.03017 Ann. Pure Appl. Logic 45, No. 2, 189-209 (1989). Reviewer: Dimitru Buşneag (Craiova) MSC: 03C60 12L12 PDFBibTeX XMLCite \textit{L. van den Dries}, Ann. Pure Appl. Logic 45, No. 2, 189--209 (1989; Zbl 0704.03017) Full Text: DOI
Delon, Françoise Model theory of Henselian valued fields. (English) Zbl 0694.03026 Logic colloq. ’87, Proc. Colloq., Granada/Spain 1987, Stud. Logic Found. Math. 129, 1-10 (1989). Reviewer: F.Delon MSC: 03C60 12J20 12L12 03C10 12J10 PDFBibTeX XML
Kuhlmann, Franz-Viktor The model theory of valued fields. A short survey focused on the Ax-Kochen-Ershov-theorem and its generalizations. (English) Zbl 0666.12019 Seminarber., Humboldt-Univ. Berlin, Sekt. Math. 93, 100-111 (1987). Reviewer: Jiří Močkoř (Ostrava) MSC: 12L12 12-03 13J15 12J10 03C60 01A60 PDFBibTeX XMLCite \textit{F.-V. Kuhlmann}, Seminarber., Humboldt-Univ. Berlin, Sekt. Math. 93, 100--111 (1987; Zbl 0666.12019)
Delon, Françoise Corps et anneaux de Rolle. (French) Zbl 0613.03011 Proc. Am. Math. Soc. 97, 315-319 (1986). Reviewer: M.F.Singer MSC: 03C60 12J15 13J15 12L05 13L05 PDFBibTeX XMLCite \textit{F. Delon}, Proc. Am. Math. Soc. 97, 315--319 (1986; Zbl 0613.03011) Full Text: DOI
Laslandes, Bruno Rolle fields with finitely many orderings. (Corps de Rolle portant un nombre fini d’ordres.) (French) Zbl 0585.12016 C. R. Acad. Sci., Paris, Sér. I 302, 401-404 (1986). Reviewer: A. F. W. T. Rosenberg (Santa Barbara) MSC: 12J15 03C60 12L12 12D15 12J10 03C65 PDFBibTeX XMLCite \textit{B. Laslandes}, C. R. Acad. Sci., Paris, Sér. I 302, 401--404 (1986; Zbl 0585.12016)
Basarab, Şerban A. A Nullstellensatz over some Henselian valued fields. (English) Zbl 0613.14002 An. Științ. Univ. Al. I. Cuza Iași, N. Ser., Secț. Ia 31, Suppl., 15-16 (1985). Reviewer: P.Philippon MSC: 14A05 12J10 03H15 13J15 12L15 PDFBibTeX XML
Mines, Ray; Richman, Fred Valuation theory: A constructive view. (English) Zbl 0549.12015 J. Number Theory 19, 40-62 (1984). Reviewer: O.Endler MSC: 12J10 03F65 12E05 PDFBibTeX XMLCite \textit{R. Mines} and \textit{F. Richman}, J. Number Theory 19, 40--62 (1984; Zbl 0549.12015) Full Text: DOI
Ershov, Yu. L. Multivalued fields. (English. Russian original) Zbl 0523.12024 Russ. Math. Surv. 37, No. 3, 63-107 (1982); translation from Usp. Mat. Nauk 37, No. 3(225), 55-93 (1982). MSC: 12L12 12J10 03C60 12J25 03C35 13A18 PDFBibTeX XMLCite \textit{Yu. L. Ershov}, Russ. Math. Surv. 37, No. 3, 63--107 (1982; Zbl 0523.12024); translation from Usp. Mat. Nauk 37, No. 3(225), 55--93 (1982) Full Text: DOI
Jensen, Christian U. Sur une classe de corps indecidables. (French) Zbl 0514.03020 C. R. Acad. Sci., Paris, Sér. I 295, 507-509 (1982). MSC: 03C60 PDFBibTeX XMLCite \textit{C. U. Jensen}, C. R. Acad. Sci., Paris, Sér. I 295, 507--509 (1982; Zbl 0514.03020)
[Berline, C.; Delon, F.; Poizat, B.; Pillay, A.; Chatzidakis, Z.] Groupe d’étude de théories stables (Bruno Poizat), 2e annee: 1978/79. Exposes 1 à 10. (French) Zbl 0454.03012 Universite Pierre et Marie Curie, Institut Henri Poincare. Paris Cedex 05: Secretariat mathematique. Pagination non continue (1981). MSC: 03C45 03C60 03C35 03-06 03-02 03C10 20K99 20A15 13J15 12J10 13L05 16Y99 13C99 PDFBibTeX XML
Ershov, Yu. L. Multiply valued fields. (English. Russian original) Zbl 0499.03017 Sov. Math., Dokl. 22, 63-66 (1980); translation from Dokl. Akad. Nauk SSSR 253, 274-277 (1980). MSC: 03C60 12J10 13J15 03C65 PDFBibTeX XMLCite \textit{Yu. L. Ershov}, Sov. Math., Dokl. 22, 63--66 (1980; Zbl 0499.03017); translation from Dokl. Akad. Nauk SSSR 253, 274--277 (1980)
Delon, Francoise Hensel fields in equal characteristic \(p>0\). (English) Zbl 0477.12028 Model theory of algebra and arithmetic, Proc. Conf., Karpacz/Pol. 1979, Lect. Notes Math. 834, 108-116 (1980). MSC: 12J10 13J15 03C60 12L99 12J20 PDFBibTeX XML
Kim, Kukjin On the structure of Hensel fields. (English) Zbl 0453.12011 J. Korean Math. Soc. 16, 155-160 (1980). MSC: 12L05 03B25 11T99 PDFBibTeX XMLCite \textit{K. Kim}, J. Korean Math. Soc. 16, 155--160 (1980; Zbl 0453.12011)
Mostowski, Tadeusz; Pfister, Gerhard Der Cohensche Eliminationssatz in positiver Charakteristik. (German) Zbl 0489.13011 Beitr. Algebra Geom. 8, 115-123 (1979). MSC: 13J15 13L05 03B25 12L05 12J10 PDFBibTeX XMLCite \textit{T. Mostowski} and \textit{G. Pfister}, Beitr. Algebra Geom. 8, 115--123 (1979; Zbl 0489.13011) Full Text: EuDML
Basarab, Serban A. Model-theoretical methods in the theory of henselian valued fields. II. (Romanian) Zbl 0454.03013 Stud. Cercet. Mat. 31, 617-656 (1979). MSC: 03C60 13J15 03C35 12J10 12J20 PDFBibTeX XMLCite \textit{S. A. Basarab}, Stud. Cercet. Mat. 31, 617--656 (1979; Zbl 0454.03013)
Basarab, Serban A. Model-theoretical methods in the theory of Henselian valued fields. II. (Romanian) Zbl 0446.03028 Stud. Cercet. Mat. 31, 617-656 (1979). MSC: 03C60 03C65 12J10 12J25 12L10 PDFBibTeX XMLCite \textit{S. A. Basarab}, Stud. Cercet. Mat. 31, 617--656 (1979; Zbl 0446.03028)
Basarab, Serban A. Model-theoretical methods in the theory of Henselian valued fields. (Romanian) Zbl 0424.03015 Stud. Cercet. Mat. 31, 3-39 (1979). MSC: 03C60 12J10 13J15 12L10 PDFBibTeX XMLCite \textit{S. A. Basarab}, Stud. Cercet. Mat. 31, 3--39 (1979; Zbl 0424.03015)
Becker, Joseph; Denef, J.; Lipshitz, L.; Van den Dries, Lou Ultraproducts and approximation in local rings. I. (English) Zbl 0416.13004 Invent. Math. 51, 189-203 (1979). Reviewer: A. R. Magid MSC: 13B02 13B25 13F30 13J15 12E12 14B12 03C20 13H99 PDFBibTeX XMLCite \textit{J. Becker} et al., Invent. Math. 51, 189--203 (1979; Zbl 0416.13004) Full Text: DOI EuDML
Basarab, Serban A. A model-theoretic transfer theorem for henselian valued fields. (English) Zbl 0409.12030 J. Reine Angew. Math. 311-312, 1-30 (1979). MSC: 12L15 12J10 13J15 03C60 03C65 03C35 PDFBibTeX XMLCite \textit{S. A. Basarab}, J. Reine Angew. Math. 311--312, 1--30 (1979; Zbl 0409.12030) Full Text: DOI Crelle EuDML
Matignon, Michel Sous-corps fermés du complète de la cloture algébrique d’un corps local. (French) Zbl 0409.12023 These presentee devant l’Universite de Bordeaux I. Option: algebre et theorie des nombres. 3ème cycle d’Enseignement Supérieur, no. d’ordre: 1481. Talence: Université de Bordeaux I, U.E.R. de Mathématiques et d’Informatique. 58 p. (1979). MSC: 11S15 12J25 12L10 03C35 PDFBibTeX XML Full Text: EuDML
Basarab, Serban A. Quelques propriétés modèle-théoriques des corps values henseliens. (French) Zbl 0424.03017 C. R. Acad. Sci., Paris, Sér. A 287, 291-293 (1978). MSC: 03C60 13J15 12J10 PDFBibTeX XMLCite \textit{S. A. Basarab}, C. R. Acad. Sci., Paris, Sér. A 287, 291--293 (1978; Zbl 0424.03017)
Basarab, Serban A. Some model theory for Henselian valued fields. (English) Zbl 0424.03016 J. Algebra 55, 191-212 (1978). MSC: 03C60 12L10 13J15 12J10 PDFBibTeX XMLCite \textit{S. A. Basarab}, J. Algebra 55, 191--212 (1978; Zbl 0424.03016) Full Text: DOI
Basarab, Serban A. Quelques propriétés modèle-théoriques des corps values henseliens. (French) Zbl 0394.12008 C. R. Acad. Sci., Paris, Sér. A 287, 189-191 (1978). MSC: 12L10 12J20 12J10 03C60 PDFBibTeX XMLCite \textit{S. A. Basarab}, C. R. Acad. Sci., Paris, Sér. A 287, 189--191 (1978; Zbl 0394.12008)
Hodges, Wilfrid On the effectivity of some field constructions. (English) Zbl 0325.12105 Proc. Lond. Math. Soc., III. Ser. 32, 133-162 (1976). Reviewer: Wilfrid Hodges MSC: 12L99 03C60 13L05 03E25 03C75 13J15 12J15 12F05 12F10 12J10 PDFBibTeX XMLCite \textit{W. Hodges}, Proc. Lond. Math. Soc. (3) 32, 133--162 (1976; Zbl 0325.12105) Full Text: DOI