Kuhlmann, F.-V. Approximation types describing extensions of valuations to rational function fields. (English) Zbl 07540297 Math. Z. 301, No. 3, 2509-2546 (2022). Reviewer: Gerard Leloup (Le Mans) MSC: 12J10 13A18 PDF BibTeX XML Cite \textit{F. V. Kuhlmann}, Math. Z. 301, No. 3, 2509--2546 (2022; Zbl 07540297) Full Text: DOI arXiv OpenURL
Peruginelli, G.; Spirito, D. Extending valuations to the field of rational functions using pseudo-monotone sequences. (English) Zbl 1482.12007 J. Algebra 586, 756-786 (2021). Reviewer: Lothar Sebastian Krapp (Konstanz) MSC: 12J20 13A18 13F30 PDF BibTeX XML Cite \textit{G. Peruginelli} and \textit{D. Spirito}, J. Algebra 586, 756--786 (2021; Zbl 1482.12007) Full Text: DOI arXiv OpenURL
Peruginelli, G.; Spirito, D. The Zariski-Riemann space of valuation domains associated to pseudo-convergent sequences. (English) Zbl 1454.12004 Trans. Am. Math. Soc. 373, No. 11, 7959-7990 (2020). Reviewer: Sudesh Kaur Khanduja (Mohali) MSC: 12J20 13A18 13F30 PDF BibTeX XML Cite \textit{G. Peruginelli} and \textit{D. Spirito}, Trans. Am. Math. Soc. 373, No. 11, 7959--7990 (2020; Zbl 1454.12004) Full Text: DOI arXiv OpenURL
de Felipe, Ana Belén; Teissier, Bernard Valuations and Henselization. (English) Zbl 1451.12005 Math. Ann. 377, No. 3-4, 935-967 (2020). MSC: 12J20 16W60 14B25 PDF BibTeX XML Cite \textit{A. B. de Felipe} and \textit{B. Teissier}, Math. Ann. 377, No. 3--4, 935--967 (2020; Zbl 1451.12005) Full Text: DOI arXiv OpenURL
Boulanger, Jacques; Chabert, Jean-Luc Integer-valued polynomials, Prüfer domains and the stacked bases property. (English) Zbl 1420.13048 J. Pure Appl. Algebra 224, No. 1, 388-401 (2020). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 13F20 13C10 13F05 PDF BibTeX XML Cite \textit{J. Boulanger} and \textit{J.-L. Chabert}, J. Pure Appl. Algebra 224, No. 1, 388--401 (2020; Zbl 1420.13048) Full Text: DOI arXiv OpenURL
Peruginelli, Giulio Prüfer intersection of valuation domains of a field of rational functions. (English) Zbl 1394.13022 J. Algebra 509, 240-262 (2018). Reviewer: Gerard Leloup (Le Mans) MSC: 13F05 13F20 13A18 PDF BibTeX XML Cite \textit{G. Peruginelli}, J. Algebra 509, 240--262 (2018; Zbl 1394.13022) Full Text: DOI arXiv OpenURL
Ludkowski, S. V. Octonion orthocomplemantable modules. (Octonion orthocomplementable modules.) (English) Zbl 1420.17002 Adv. Appl. Clifford Algebr. 27, No. 2, 1551-1566 (2017). MSC: 17A35 17D05 PDF BibTeX XML Cite \textit{S. V. Ludkowski}, Adv. Appl. Clifford Algebr. 27, No. 2, 1551--1566 (2017; Zbl 1420.17002) Full Text: DOI OpenURL
Priess-Crampe, Sibylla Reaching fixed points as limits in subspaces. (English) Zbl 1359.54026 J. Geom. 107, No. 2, 387-402 (2016). Reviewer: Hüseyin Çakallı (Istanbul) MSC: 54H25 12J10 13A18 12Y05 41A65 PDF BibTeX XML Cite \textit{S. Priess-Crampe}, J. Geom. 107, No. 2, 387--402 (2016; Zbl 1359.54026) Full Text: DOI OpenURL
Loper, K. Alan; Werner, Nicholas J. Pseudo-convergent sequences and Prüfer domains of integer-valued polynomials. (English) Zbl 1345.13013 J. Commut. Algebra 8, No. 3, 411-429 (2016). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 13F20 13F05 13F30 PDF BibTeX XML Cite \textit{K. A. Loper} and \textit{N. J. Werner}, J. Commut. Algebra 8, No. 3, 411--429 (2016; Zbl 1345.13013) Full Text: DOI Euclid OpenURL
Kuhlmann, Franz-Viktor; Vlahu, Izabela The relative approximation degree in valued function fields. (English) Zbl 1330.12002 Math. Z. 276, No. 1-2, 203-235 (2014). Reviewer: Sudesh Kaur Khanduja (Mohali) MSC: 12J10 12J20 PDF BibTeX XML Cite \textit{F.-V. Kuhlmann} and \textit{I. Vlahu}, Math. Z. 276, No. 1--2, 203--235 (2014; Zbl 1330.12002) Full Text: DOI arXiv OpenURL
Popescu, Sever Angel Absorbent property, Krasner type lemmas and spectral norms for a class of valued fields. (English) Zbl 1297.12002 Proc. Japan Acad., Ser. A 89, No. 10, 138-143 (2013). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 12J10 12J25 13A18 PDF BibTeX XML Cite \textit{S. A. Popescu}, Proc. Japan Acad., Ser. A 89, No. 10, 138--143 (2013; Zbl 1297.12002) Full Text: DOI Euclid OpenURL
Ludkovsky, S. V. Groups of diffeomorphisms and geometric wraps of manifolds over ultra-normed fields. (English. Russian original) Zbl 1257.32024 J. Math. Sci., New York 185, No. 1, 125-174 (2012); translation from Sovrem. Mat. Prilozh. 73 (2011). MSC: 32P05 32M99 26E30 12J25 PDF BibTeX XML Cite \textit{S. V. Ludkovsky}, J. Math. Sci., New York 185, No. 1, 125--174 (2012; Zbl 1257.32024); translation from Sovrem. Mat. Prilozh. 73 (2011) Full Text: DOI arXiv OpenURL
Dumbaugh, Della; Schwermer, Joachim The collaboration of Emil Artin and George Whaples: Artin’s mathematical circle extends to America. (English) Zbl 1268.01015 Arch. Hist. Exact Sci. 66, No. 5, 465-484 (2012). Reviewer: Karin Reich (Berlin) MSC: 01A60 11-03 PDF BibTeX XML Cite \textit{D. Dumbaugh} and \textit{J. Schwermer}, Arch. Hist. Exact Sci. 66, No. 5, 465--484 (2012; Zbl 1268.01015) Full Text: DOI OpenURL
Ehrlich, Philip The absolute arithmetic continuum and the unification of all numbers great and small. (English) Zbl 1242.03065 Bull. Symb. Log. 18, No. 1, 1-45 (2012). Reviewer: Leon Harkleroad (Bowdoinham) MSC: 03E10 03-03 05C05 12J15 26E30 PDF BibTeX XML Cite \textit{P. Ehrlich}, Bull. Symb. Log. 18, No. 1, 1--45 (2012; Zbl 1242.03065) Full Text: DOI Euclid Link OpenURL
Brungs, H. H.; Törner, G. \(I\)-compact right chain domains. (English) Zbl 1247.16044 J. Algebra Appl. 10, No. 6, 1107-1139 (2011). MSC: 16W60 06F15 16D25 16L30 16U20 16P70 PDF BibTeX XML Cite \textit{H. H. Brungs} and \textit{G. Törner}, J. Algebra Appl. 10, No. 6, 1107--1139 (2011; Zbl 1247.16044) Full Text: DOI OpenURL
Chabert, Jean-Luc An overview of some recent developments on integer-valued polynomials: answers and questions. (English) Zbl 1478.13032 Actes Rencontres C.I.R.M. 2, No. 2, 3-14 (2010). MSC: 13F20 11C08 PDF BibTeX XML Cite \textit{J.-L. Chabert}, Actes Rencontres C.I.R.M. 2, No. 2, 3--14 (2010; Zbl 1478.13032) Full Text: DOI Link OpenURL
Roquette, Peter In memoriam Ernst Steinitz (1871-1928). (English) Zbl 1226.01009 J. Reine Angew. Math. 648, 1-11 (2010). Reviewer: Karl-Heinz Schlote (Altenburg) MSC: 01A60 12-03 PDF BibTeX XML Cite \textit{P. Roquette}, J. Reine Angew. Math. 648, 1--11 (2010; Zbl 1226.01009) Full Text: DOI OpenURL
Chabert, Jean-Luc On the polynomial closure in a valued field. (English) Zbl 1245.13014 J. Number Theory 130, No. 2, 458-468 (2010). MSC: 13F30 11C08 13F20 PDF BibTeX XML Cite \textit{J.-L. Chabert}, J. Number Theory 130, No. 2, 458--468 (2010; Zbl 1245.13014) Full Text: DOI OpenURL
Ludkovsky, S. V. Differentiability of functions: approximate, global, and differentiability along curves over non-Archimedean fields. (English. Russian original) Zbl 1189.26053 J. Math. Sci., New York 157, No. 2, 311-366 (2009); translation from Sovrem. Mat. Prilozh. 52 (2008). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 26E30 26B05 PDF BibTeX XML Cite \textit{S. V. Ludkovsky}, J. Math. Sci., New York 157, No. 2, 311--366 (2009; Zbl 1189.26053); translation from Sovrem. Mat. Prilozh. 52 (2008) Full Text: DOI OpenURL
Brink, David New light on Hensel’s Lemma. (English) Zbl 1142.12304 Expo. Math. 24, No. 4, 291-306 (2006). MSC: 12J25 12J20 PDF BibTeX XML Cite \textit{D. Brink}, Expo. Math. 24, No. 4, 291--306 (2006; Zbl 1142.12304) Full Text: DOI OpenURL
Karpfinger, Ch. On the construction of valued Dickson near-fields. (Zur Konstruktion bewerteter Dicksonscher Fastkörper.) (German) Zbl 1159.12315 Abh. Math. Semin. Univ. Hamb. 75, 137-161 (2005). MSC: 12K05 12J20 16W60 PDF BibTeX XML Cite \textit{Ch. Karpfinger}, Abh. Math. Semin. Univ. Hamb. 75, 137--161 (2005; Zbl 1159.12315) Full Text: DOI OpenURL
Bhatia, Saurabh; Khanduja, Sudesh K. On extensions generated by roots of lifting polynomials. (English) Zbl 1052.12003 Mathematika 49, No. 1-2, 107-118 (2002). Reviewer: John N. Mordeson (Omaha) MSC: 12J20 PDF BibTeX XML Cite \textit{S. Bhatia} and \textit{S. K. Khanduja}, Mathematika 49, No. 1--2, 107--118 (2002; Zbl 1052.12003) Full Text: DOI OpenURL
Khanduja, Sudesh K.; Popescu, N.; Roggenkamp, K. W. On minimal pairs and residually transcendental extensions of valuations. (English) Zbl 1052.12004 Mathematika 49, No. 1-2, 93-106 (2002). Reviewer: John N. Mordeson (Omaha) MSC: 12J20 12F20 PDF BibTeX XML Cite \textit{S. K. Khanduja} et al., Mathematika 49, No. 1--2, 93--106 (2002; Zbl 1052.12004) Full Text: DOI OpenURL
Laugwitz, Detlef Debates about infinity in mathematics around 1890: The Cantor-Veronese controversy, its origins and its outcome. (English) Zbl 0993.01010 NTM (N.S.) 10, No. 2, 102-126 (2002). Reviewer: Audun Holme (Bergen) MSC: 01A55 PDF BibTeX XML Cite \textit{D. Laugwitz}, NTM (N.S.) 10, No. 2, 102--126 (2002; Zbl 0993.01010) Full Text: DOI OpenURL
Brungs, H. H.; Schröder, M. Valuation rings in Ore extensions. (English) Zbl 0970.16014 J. Algebra 235, No. 2, 665-680 (2001). Reviewer: Paul M.Cohn (London) MSC: 16S36 16W60 16K40 PDF BibTeX XML Cite \textit{H. H. Brungs} and \textit{M. Schröder}, J. Algebra 235, No. 2, 665--680 (2001; Zbl 0970.16014) Full Text: DOI OpenURL
Morandi, Patrick J.; Sethuraman, B. A. Kummer subfields of tame division algebras. (English) Zbl 0840.16013 J. Algebra 172, No. 2, 554-583 (1995). Reviewer: J.-P.Tignol (Louvain-La-Neuve) MSC: 16K20 12J10 PDF BibTeX XML Cite \textit{P. J. Morandi} and \textit{B. A. Sethuraman}, J. Algebra 172, No. 2, 554--583 (1995; Zbl 0840.16013) Full Text: DOI OpenURL
Wähling, Heinz Approximation theorems for topological, valued, and ordered nearfields. (Approximationssätze für topologische, bewertete und angeordnete Fastkörper.) (German) Zbl 0837.12005 Result. Math. 26, No. 1-2, 178-194 (1994). Reviewer: H.Wefelscheid (Duisburg) MSC: 12K05 22A99 PDF BibTeX XML Cite \textit{H. Wähling}, Result. Math. 26, No. 1--2, 178--194 (1994; Zbl 0837.12005) Full Text: DOI OpenURL
Mathews, David; Cohen, Jo-Ann Valuations defined by Ostrowski nets. (English) Zbl 0797.12007 J. Pure Appl. Algebra 90, No. 3, 221-227 (1993). Reviewer: N.Sankaran (Chandigarh) MSC: 12J10 PDF BibTeX XML Cite \textit{D. Mathews} and \textit{J.-A. Cohen}, J. Pure Appl. Algebra 90, No. 3, 221--227 (1993; Zbl 0797.12007) Full Text: DOI OpenURL
Ohm, Jack The Henselian defect for valued function fields. (English) Zbl 0681.12011 Proc. Am. Math. Soc. 107, No. 2, 299-308 (1989). Reviewer: H.Weber MSC: 12J25 12F20 13J15 12J10 PDF BibTeX XML Cite \textit{J. Ohm}, Proc. Am. Math. Soc. 107, No. 2, 299--308 (1989; Zbl 0681.12011) Full Text: DOI OpenURL
Morandi, Pat The Henselization of a valued division algebra. (English) Zbl 0676.16017 J. Algebra 122, No. 1, 232-243 (1989). Reviewer: P.M.Cohn MSC: 16K40 12E15 16W60 12J10 12J20 PDF BibTeX XML Cite \textit{P. Morandi}, J. Algebra 122, No. 1, 232--243 (1989; Zbl 0676.16017) Full Text: DOI OpenURL
Matignon, Michel; Ohm, Jack A structure theorem for simple transcendental extensions of valued fields. (English) Zbl 0692.12011 Proc. Am. Math. Soc. 104, No. 2, 392-402 (1988). MSC: 12J10 12F20 13A18 PDF BibTeX XML Cite \textit{M. Matignon} and \textit{J. Ohm}, Proc. Am. Math. Soc. 104, No. 2, 392--402 (1988; Zbl 0692.12011) Full Text: DOI OpenURL
Ershov, Yu. L. Co-Henselian extensions and Henselizations of skew fields. (English. Russian original) Zbl 0685.16014 Algebra Logic 27, No. 6, 401-407 (1988); translation from Algebra Logika 27, No. 6, 649-658 (1988). Reviewer: V.Yanchevskij MSC: 16Kxx 12J10 16W20 PDF BibTeX XML Cite \textit{Yu. L. Ershov}, Algebra Logic 27, No. 6, 401--407 (1988; Zbl 0685.16014); translation from Algebra Logika 27, No. 6, 649--658 (1988) Full Text: DOI OpenURL
Sally, Judith D. Non-splitting of prime divisors. (English) Zbl 0664.13002 Math. Proc. Camb. Philos. Soc. 103, No. 2, 251-256 (1988). Reviewer: C.U.Jensen MSC: 14E22 13A18 13H05 PDF BibTeX XML Cite \textit{J. D. Sally}, Math. Proc. Camb. Philos. Soc. 103, No. 2, 251--256 (1988; Zbl 0664.13002) Full Text: DOI OpenURL
Matignon, Michel Genre et genre residuel des corps de fonctions valués. (Genus and residual genus of valued function fields). (French) Zbl 0617.14020 Manuscr. Math. 58, 179-214 (1987). MSC: 14H05 11R58 14E22 12J10 PDF BibTeX XML Cite \textit{M. Matignon}, Manuscr. Math. 58, 179--214 (1987; Zbl 0617.14020) Full Text: DOI EuDML OpenURL
Green, Barry W. On the immediate extensions of a valued field. (English) Zbl 0622.12012 Quaest. Math. 9, 227-244 (1986). Reviewer: J.Močkor MSC: 12J10 12J20 13A18 PDF BibTeX XML Cite \textit{B. W. Green}, Quaest. Math. 9, 227--244 (1986; Zbl 0622.12012) Full Text: DOI OpenURL
Kuhlmann, Franz-Viktor; Pank, Matthias; Roquette, Peter Immediate and purely wild extensions of valued fields. (English) Zbl 0593.12018 Manuscr. Math. 55, 39-67 (1986). Reviewer: Jiří Močkoř (Ostrava) MSC: 12J10 12L12 PDF BibTeX XML Cite \textit{F.-V. Kuhlmann} et al., Manuscr. Math. 55, 39--67 (1986; Zbl 0593.12018) Full Text: DOI EuDML OpenURL
Salce, Luigi; Zanardo, Paolo Some cardinal invariants for valuation domains. (English) Zbl 0596.13015 Rend. Sem. Mat. Univ. Padova 74, 205-217 (1985). Reviewer: C.U.Jensen MSC: 13F99 13F30 13B02 13F05 PDF BibTeX XML Cite \textit{L. Salce} and \textit{P. Zanardo}, Rend. Semin. Mat. Univ. Padova 74, 205--217 (1985; Zbl 0596.13015) Full Text: Numdam EuDML OpenURL
Roquette, Peter On the Riemann \(\mathfrak p\)-space of a field. The \(\mathfrak p\)-adic analogue of Weierstrass’ approximation theorem and related problems. (English) Zbl 0383.12008 Abh. Math. Semin. Univ. Hamb. 47, 236-259 (1978). Reviewer: Peter Roquette (Heidelberg) MSC: 11S15 11S40 12J10 PDF BibTeX XML Cite \textit{P. Roquette}, Abh. Math. Semin. Univ. Hamb. 47, 236--259 (1978; Zbl 0383.12008) Full Text: DOI OpenURL
Fuchs, L. Vector spaces with valuations. (English) Zbl 0318.15002 J. Algebra 35, 23-38 (1975). MSC: 15A03 20K40 46A40 PDF BibTeX XML Cite \textit{L. Fuchs}, J. Algebra 35, 23--38 (1975; Zbl 0318.15002) Full Text: DOI OpenURL
Güntzer, Ulrich; Remmert, Reinhold Bewertungstheorie und Spektralnorm. (German) Zbl 0237.12108 Abh. Math. Semin. Univ. Hamb. 38, 32-48 (1972). MSC: 12J10 46H05 13J15 12J20 PDF BibTeX XML Cite \textit{U. Güntzer} and \textit{R. Remmert}, Abh. Math. Semin. Univ. Hamb. 38, 32--48 (1972; Zbl 0237.12108) Full Text: DOI OpenURL
Taussky, O.; Zassenhaus, Hans On the 1-cohomology of the general and special linear groups. (English) Zbl 0213.03701 Aequationes Math. 5, 129-201 (1970). MSC: 20J99 PDF BibTeX XML Cite \textit{O. Taussky} and \textit{H. Zassenhaus}, Aequationes Math. 5, 129--201 (1970; Zbl 0213.03701) Full Text: DOI EuDML OpenURL
Ribenboim, Paulo A short note on Henselian fields. (English) Zbl 0145.27601 Math. Ann. 173, 83-88 (1967). PDF BibTeX XML Cite \textit{P. Ribenboim}, Math. Ann. 173, 83--88 (1967; Zbl 0145.27601) Full Text: DOI EuDML OpenURL
Thaler, A. L. On the Newton polytope. (English) Zbl 0144.29401 Proc. Am. Math. Soc. 15, 944-950 (1964). PDF BibTeX XML Cite \textit{A. L. Thaler}, Proc. Am. Math. Soc. 15, 944--950 (1964; Zbl 0144.29401) Full Text: DOI OpenURL
Ribenboim, Paulo On the completion of a valuation ring. (English) Zbl 0136.32102 Math. Ann. 155, 392-396 (1964). Reviewer: O. Endler MSC: 12J10 13J05 PDF BibTeX XML Cite \textit{P. Ribenboim}, Math. Ann. 155, 392--396 (1964; Zbl 0136.32102) Full Text: DOI EuDML OpenURL
Wloka, J. Über die Anwendung der Operatorenrechnung auf partielle Differential- Differenzengleichungen mit mehreren Differenzen. (German) Zbl 0211.14202 Arch. Math. 11, 23-28 (1960). MSC: 44A40 35R10 PDF BibTeX XML Cite \textit{J. Wloka}, Arch. Math. 11, 23--28 (1960; Zbl 0211.14202) Full Text: DOI OpenURL
Lamprecht, Erich Zur Eindeutigkeit von Funktionalprimdivisoren. (German) Zbl 0078.02906 Arch. Math. 8, 30-38 (1957). PDF BibTeX XML Cite \textit{E. Lamprecht}, Arch. Math. 8, 30--38 (1957; Zbl 0078.02906) Full Text: DOI OpenURL
Hasse, Helmut Über das Zerlegungsgesetz für einen Funktionalprimdivisor in einem zyklischen Körper von durch ihn teilbarem Primzahlpotenzgrad. (German) Zbl 0058.27103 Arch. Math. 5, 216-225 (1954). PDF BibTeX XML Cite \textit{H. Hasse}, Arch. Math. 5, 216--225 (1954; Zbl 0058.27103) Full Text: DOI OpenURL
Kaplansky, Irving Polynomials in topological fields. (English) Zbl 0032.10305 Bull. Am. Math. Soc. 54, 909-916 (1948). Reviewer: W. Gröbner (Innsbruck) MSC: 12J99 12E05 PDF BibTeX XML Cite \textit{I. Kaplansky}, Bull. Am. Math. Soc. 54, 909--916 (1948; Zbl 0032.10305) Full Text: DOI OpenURL
Schilling, O. F. G. Ideal theory on open Riemann surfaces. (English) Zbl 0063.06792 Bull. Am. Math. Soc. 52, 945-963 (1946). PDF BibTeX XML Cite \textit{O. F. G. Schilling}, Bull. Am. Math. Soc. 52, 945--963 (1946; Zbl 0063.06792) Full Text: DOI OpenURL
MacLane, Saunders A construction for absolute values in polynomial rings. (English) Zbl 0015.29202 Trans. Am. Math. Soc. 40, 363-395 (1936). Reviewer: N. Chebotarev PDF BibTeX XML Cite \textit{S. MacLane}, Trans. Am. Math. Soc. 40, 363--395 (1936; Zbl 0015.29202) Full Text: DOI OpenURL
MacLane, S. A construction for absolute values in polynomial rings. (English) JFM 62.1106.02 Trans. Amer. math. Soc. 40, 363-395 (1936). Reviewer: Hasse, H., Prof. (Göttingen) PDF BibTeX XML Cite \textit{S. MacLane}, Trans. Am. Math. Soc. 40, 363--395 (1936; JFM 62.1106.02) Full Text: DOI OpenURL