Restrepo Borrero, M.; Srivastava, Vatsal; Shamseddine, K. On a new measure on the Levi-Civita field \(\mathcal{R}\). (English) Zbl 07729674 \(p\)-Adic Numbers Ultrametric Anal. Appl. 15, No. 1, 1-22 (2023). MSC: 12J25 28E05 26E30 46S10 PDF BibTeX XML Cite \textit{M. Restrepo Borrero} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 15, No. 1, 1--22 (2023; Zbl 07729674) Full Text: DOI arXiv
Shamseddine, K.; Shalev, A. A weaker smoothness criterion for the inverse function theorem, the intermediate value theorem, and the mean value theorem in a non-Archimedean setting. (English) Zbl 07706201 \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. Suppl 1, S45-S58 (2022). MSC: 46S10 26E30 12J25 12J10 12J15 PDF BibTeX XML Cite \textit{K. Shamseddine} and \textit{A. Shalev}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. Suppl 1, S45--S58 (2022; Zbl 07706201) Full Text: DOI
Kuhlmann, Salma; Serra, Michele The automorphism group of a valued field of generalised formal power series. (English) Zbl 1494.13031 J. Algebra 605, 339-376 (2022). Reviewer: Ali Benhissi (Monastir) MSC: 13J05 12J20 16W60 06F20 PDF BibTeX XML Cite \textit{S. Kuhlmann} and \textit{M. Serra}, J. Algebra 605, 339--376 (2022; Zbl 1494.13031) Full Text: DOI arXiv
Lehéricy, Gabriel A structure theorem for abelian quasi-ordered groups. (English) Zbl 1419.13009 J. Pure Appl. Algebra 223, No. 8, 3238-3261 (2019). Reviewer: S. K. Nimbhorkar (Aurangabad) MSC: 13A18 20F60 06F15 03C64 PDF BibTeX XML Cite \textit{G. Lehéricy}, J. Pure Appl. Algebra 223, No. 8, 3238--3261 (2019; Zbl 1419.13009) Full Text: DOI arXiv
Flynn, Darren; Shamseddine, Khodr On integrable delta functions on the Levi-Civita field. (English) Zbl 1428.46048 \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 1, 32-56 (2018). MSC: 46S10 28E99 12J25 PDF BibTeX XML Cite \textit{D. Flynn} and \textit{K. Shamseddine}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 1, 32--56 (2018; Zbl 1428.46048) Full Text: DOI
Bookatz, Gidon; Shamseddine, Khodr Calculus on a non-Archimedean field extension of the real numbers: inverse function theorem, intermediate value theorem and mean value theorem. (English) Zbl 1400.26067 Escassut, Alain (ed.) et al., Advances in ultrametric analysis. 14th international conference on \(p\)-adic functional analysis, Université d’Auvergne, Aurillac, France, June 30 – July 4, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3491-5/hbk; 978-1-4704-4676-5/ebook). Contemporary Mathematics 704, 49-67 (2018). MSC: 26E30 12J25 PDF BibTeX XML Cite \textit{G. Bookatz} and \textit{K. Shamseddine}, Contemp. Math. 704, 49--67 (2018; Zbl 1400.26067) Full Text: DOI Link
Kuhlmann, Salma; Lehéricy, Gabriel A Baer-Krull theorem for quasi-ordered groups. (English) Zbl 1428.06003 Order 35, No. 2, 283-291 (2018). Reviewer: Xie Xiang-Yun (Guangdong) MSC: 06F20 13A18 20F60 PDF BibTeX XML Cite \textit{S. Kuhlmann} and \textit{G. Lehéricy}, Order 35, No. 2, 283--291 (2018; Zbl 1428.06003) Full Text: DOI arXiv
Struve, Rolf A theory of duality in Euclidean geometry. (English) Zbl 1393.51011 Beitr. Algebra Geom. 59, No. 2, 221-246 (2018). MSC: 51M05 03B30 51F15 51G05 PDF BibTeX XML Cite \textit{R. Struve}, Beitr. Algebra Geom. 59, No. 2, 221--246 (2018; Zbl 1393.51011) Full Text: DOI
Schwartz, Niels Positive semifields and their ideals. (English) Zbl 1388.12016 Broglia, Fabrizio (ed.) et al., Ordered algebraic structures and related topics. International conference at CIRM, Luminy, France, October 12–16, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2966-9/pbk; 978-1-4704-4222-4/ebook). Contemporary Mathematics 697, 301-323 (2017). MSC: 12K10 06F25 13J30 PDF BibTeX XML Cite \textit{N. Schwartz}, Contemp. Math. 697, 301--323 (2017; Zbl 1388.12016) Full Text: DOI
Mantova, Vincenzo; Matusinski, Mickaël Surreal numbers with derivation, Hardy fields and transseries: a survey. To the memory of Murray Marshall. (English) Zbl 1437.03132 Broglia, Fabrizio (ed.) et al., Ordered algebraic structures and related topics. International conference at CIRM, Luminy, France, October 12–16, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 697, 265-290 (2017). MSC: 03C64 12J15 13N15 03C60 PDF BibTeX XML Cite \textit{V. Mantova} and \textit{M. Matusinski}, Contemp. Math. 697, 265--290 (2017; Zbl 1437.03132) Full Text: DOI
Brungs, Hans H.; Gräter, Joachim On central extensions of \(\operatorname{SL}(2,F)\) admitting left-orderings. (English) Zbl 1423.20039 J. Algebra 486, 288-327 (2017). MSC: 20F60 19C09 06F15 20G15 22F50 PDF BibTeX XML Cite \textit{H. H. Brungs} and \textit{J. Gräter}, J. Algebra 486, 288--327 (2017; Zbl 1423.20039) Full Text: DOI
Shamseddine, K.; Bookatz, G. A local mean value theorem for functions on non-Archimedean field extensions of the real numbers. (English) Zbl 1345.26042 \(p\)-Adic Numbers Ultrametric Anal. Appl. 8, No. 2, 160-175 (2016). MSC: 26E30 PDF BibTeX XML Cite \textit{K. Shamseddine} and \textit{G. Bookatz}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 8, No. 2, 160--175 (2016; Zbl 1345.26042) Full Text: DOI
Mészáros, A. R.; Shamseddine, K. On the solutions of linear ordinary differential equations and Bessel-type special functions on the Levi-Civita field. (English) Zbl 1339.26077 J. Contemp. Math. Anal., Armen. Acad. Sci. 50, No. 2, 53-62 (2015) and Izv. Nats. Akad. Nauk Armen., Mat. 50, No. 2, 53-68 (2015). MSC: 26E10 34A30 33C10 PDF BibTeX XML Cite \textit{A. R. Mészáros} and \textit{K. Shamseddine}, J. Contemp. Math. Anal., Armen. Acad. Sci. 50, No. 2, 53--62 (2015; Zbl 1339.26077) Full Text: DOI
Lucas, F.; Schaub, D.; Spivakovsky, M. On the Pierce-Birkhoff conjecture. (English) Zbl 1386.14197 J. Algebra 435, 124-158 (2015). MSC: 14P10 13J30 PDF BibTeX XML Cite \textit{F. Lucas} et al., J. Algebra 435, 124--158 (2015; Zbl 1386.14197) Full Text: DOI arXiv
Shamseddine, Khodr One-variable and multi-variable calculus on a non-Archimedean field extension of the real numbers. (One-variable and multi-mariable calculus on a non-Archimedean field extension of the real numbers.) (English) Zbl 1309.26029 \(p\)-Adic Numbers Ultrametric Anal. Appl. 5, No. 2, 160-175 (2013). MSC: 26E30 12J10 PDF BibTeX XML Cite \textit{K. Shamseddine}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 5, No. 2, 160--175 (2013; Zbl 1309.26029) Full Text: DOI
Lucas, F.; Madden, J.; Schaub, D.; Spivakovsky, M. Approximate roots of a valuation and the Pierce-Birkhoff conjecture. (English. French summary) Zbl 1271.13051 Ann. Fac. Sci. Toulouse, Math. (6) 21, No. 2, 259-342 (2012). Reviewer: Igor Klep (Auckland) MSC: 13J30 13A18 PDF BibTeX XML Cite \textit{F. Lucas} et al., Ann. Fac. Sci. Toulouse, Math. (6) 21, No. 2, 259--342 (2012; Zbl 1271.13051) Full Text: DOI arXiv
Shamseddine, Khodr; Sierens, Todd On locally uniformly differentiable functions on a complete non-Archimedean ordered field extension of the real numbers. (English) Zbl 1242.26042 ISRN Math. Anal. 2012, Article ID 387053, 20 p. (2012). MSC: 26E30 PDF BibTeX XML Cite \textit{K. Shamseddine} and \textit{T. Sierens}, ISRN Math. Anal. 2012, Article ID 387053, 20 p. (2012; Zbl 1242.26042) Full Text: DOI
Kuhlmann, Franz-Viktor Maps on ultrametric spaces, Hensel’s lemma, and differential equations over valued fields. (English) Zbl 1239.12006 Commun. Algebra 39, No. 5, 1730-1776 (2011). Reviewer: Kazimierz Szymiczek (Katowice) MSC: 12J20 12J10 12H05 12H10 12L12 PDF BibTeX XML Cite \textit{F.-V. Kuhlmann}, Commun. Algebra 39, No. 5, 1730--1776 (2011; Zbl 1239.12006) Full Text: DOI arXiv
Karpfinger, Christian Preorders, left orderings, and valuation of near-fields. (Präordnungen, Linksanordnungen und Bewertungen auf Fastkörpern.) (German) Zbl 1231.12004 Result. Math. 59, No. 3-4, 279-300 (2011). Reviewer: Günter Pilz (Linz) MSC: 12K05 12D15 PDF BibTeX XML Cite \textit{C. Karpfinger}, Result. Math. 59, No. 3--4, 279--300 (2011; Zbl 1231.12004) Full Text: DOI
Pambuccian, Victor The axiomatics of ordered geometry: I. Ordered incidence spaces. (English) Zbl 1227.51010 Expo. Math. 29, No. 1, 24-66 (2011). Reviewer: Norbert Knarr (Gießen) MSC: 51G05 01A60 52A01 03B30 PDF BibTeX XML Cite \textit{V. Pambuccian}, Expo. Math. 29, No. 1, 24--66 (2011; Zbl 1227.51010) Full Text: DOI
Karpfinger, Christian; Wähling, Heinz A method for constructing left ordered Dickson nearfields. (Eine Methode zur Konstruktion linksangeordneter Dicksonscher Fastkörper.) (German) Zbl 1237.12003 Result. Math. 57, No. 3-4, 287-312 (2010). Reviewer: Heinrich Wefelscheid (Duisburg) MSC: 12K05 12D15 PDF BibTeX XML Cite \textit{C. Karpfinger} and \textit{H. Wähling}, Result. Math. 57, No. 3--4, 287--312 (2010; Zbl 1237.12003) Full Text: DOI
Shamseddine, Khodr On the topological structure of the Levi-Civita field. (English) Zbl 1190.26036 J. Math. Anal. Appl. 368, No. 1, 281-292 (2010). MSC: 26E30 12J25 PDF BibTeX XML Cite \textit{K. Shamseddine}, J. Math. Anal. Appl. 368, No. 1, 281--292 (2010; Zbl 1190.26036) Full Text: DOI
Lucas, F.; Madden, J. J.; Schaub, D.; Spivakovsky, M. On connectedness of sets in the real spectra of polynomial rings. (English) Zbl 1169.14039 Manuscr. Math. 128, No. 4, 505-547 (2009). Reviewer: Niels Schwartz (Passau) MSC: 14P10 13J30 PDF BibTeX XML Cite \textit{F. Lucas} et al., Manuscr. Math. 128, No. 4, 505--547 (2009; Zbl 1169.14039) Full Text: DOI arXiv
Lucas, Francois; Schaub, Daniel; Spivakovsky, Mark On points at infinity of real spectra of polynomial rings. (English) Zbl 1181.14059 Mich. Math. J. 57, 587-599 (2008). Reviewer: Gyu Whan Chang (Incheon) MSC: 14P10 13A18 06F25 13B25 PDF BibTeX XML Cite \textit{F. Lucas} et al., Mich. Math. J. 57, 587--599 (2008; Zbl 1181.14059) Full Text: DOI arXiv
Boughattas, Sedki; Ressayre, Jean-Pierre Arithmetization of the field of reals with exponentiation – extended abstract. (English) Zbl 1144.03027 Theor. Inform. Appl. 42, No. 1, 105-119 (2008). MSC: 03C60 03C64 03H15 12L12 PDF BibTeX XML Cite \textit{S. Boughattas} and \textit{J.-P. Ressayre}, Theor. Inform. Appl. 42, No. 1, 105--119 (2008; Zbl 1144.03027) Full Text: DOI Numdam EuDML
Klep, Igor; Schweighofer, Markus Connes’ embedding conjecture and sums of Hermitian squares. (English) Zbl 1184.46055 Adv. Math. 217, No. 4, 1816-1837 (2008); addendum ibid. 252, 805-811 (2014). MSC: 46L07 11E25 13J30 46L10 PDF BibTeX XML Cite \textit{I. Klep} and \textit{M. Schweighofer}, Adv. Math. 217, No. 4, 1816--1837 (2008; Zbl 1184.46055) Full Text: DOI arXiv
Tressl, Marcus Pseudo completions and completions in stages of o-minimal structures. (English) Zbl 1116.03033 Arch. Math. Logic 45, No. 8, 983-1009 (2006). Reviewer: Tobias Kaiser (Regensburg) MSC: 03C64 12J10 12J15 13B35 PDF BibTeX XML Cite \textit{M. Tressl}, Arch. Math. Logic 45, No. 8, 983--1009 (2006; Zbl 1116.03033) Full Text: DOI Link
Shamseddine, Khodr; Berz, Martin Generalized power series on a non-Archimedean field. (English) Zbl 1142.12005 Indag. Math., New Ser. 17, No. 3, 457-477 (2006). MSC: 12J25 26E30 PDF BibTeX XML Cite \textit{K. Shamseddine} and \textit{M. Berz}, Indag. Math., New Ser. 17, No. 3, 457--477 (2006; Zbl 1142.12005) Full Text: DOI
Ehrlich, Philip The rise of non-Archimedean mathematics and the roots of a misconception. I: The emergence of non-Archimedean systems of magnitudes. (English) Zbl 1086.01024 Arch. Hist. Exact Sci. 60, No. 1, 1-121 (2006). Reviewer: Ülo Lumiste (Tartu) MSC: 01A55 12-03 12J05 PDF BibTeX XML Cite \textit{P. Ehrlich}, Arch. Hist. Exact Sci. 60, No. 1, 1--121 (2006; Zbl 1086.01024) Full Text: DOI
Shamseddine, Khodr; Berz, Martin Analytical properties of power series on Levi-Civita fields. (English) Zbl 1087.26020 Ann. Math. Blaise Pascal 12, No. 2, 309-329 (2005). MSC: 26E30 40C15 26E05 PDF BibTeX XML Cite \textit{K. Shamseddine} and \textit{M. Berz}, Ann. Math. Blaise Pascal 12, No. 2, 309--329 (2005; Zbl 1087.26020) Full Text: DOI Numdam EuDML
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
Kramer, Linus; Shelah, Saharon; Tent, Katrin; Thomas, Simon Asymptotic cones of finitely presented groups. (English) Zbl 1139.22010 Adv. Math. 193, No. 1, 142-173 (2005). MSC: 22E46 22E40 20F65 20F69 20F05 54D80 03E50 03C20 51E24 20E42 PDF BibTeX XML Cite \textit{L. Kramer} et al., Adv. Math. 193, No. 1, 142--173 (2005; Zbl 1139.22010) Full Text: DOI arXiv
Aschenbrenner, Matthias; van den Dries, Lou Liouville closed \(H\)-fields. (English) Zbl 1134.12004 J. Pure Appl. Algebra 197, No. 1-3, 83-139 (2005). MSC: 12H05 12J15 PDF BibTeX XML Cite \textit{M. Aschenbrenner} and \textit{L. van den Dries}, J. Pure Appl. Algebra 197, No. 1--3, 83--139 (2005; Zbl 1134.12004) Full Text: DOI
Polster, Burkard; Steinke, Günter F. On the Kleinewillinghöfer types of flat Laguerre planes. (English) Zbl 1065.51012 Result. Math. 46, No. 1-2, 103-122 (2004). Reviewer: Karl Strambach (Erlangen) MSC: 51H15 51B15 PDF BibTeX XML Cite \textit{B. Polster} and \textit{G. F. Steinke}, Result. Math. 46, No. 1--2, 103--122 (2004; Zbl 1065.51012) Full Text: DOI
Shamseddine, K.; Zeidan, V. Constrained second order optimization on non-archimedean fields. (English) Zbl 1078.49002 Indag. Math., New Ser. 14, No. 1, 81-101 (2003). MSC: 49J30 49K30 26E30 12J25 90C48 PDF BibTeX XML Cite \textit{K. Shamseddine} and \textit{V. Zeidan}, Indag. Math., New Ser. 14, No. 1, 81--101 (2003; Zbl 1078.49002) Full Text: DOI
Koenigsmann, Jochen Relatively projective groups as absolute Galois groups. (English) Zbl 1006.12003 Isr. J. Math. 127, 93-129 (2002). Reviewer: Tara L.Smith (Cincinnati) MSC: 12F10 12J20 20F36 PDF BibTeX XML Cite \textit{J. Koenigsmann}, Isr. J. Math. 127, 93--129 (2002; Zbl 1006.12003) Full Text: DOI arXiv
Kuhlmann, F.-V.; Kuhlmann, S.; Marshall, M.; Zekavat, M. Embedding ordered fields in formal power series fields. (English) Zbl 0998.12010 J. Pure Appl. Algebra 169, No. 1, 71-90 (2002). Reviewer: G.Pestov (Tomsk) MSC: 12J10 12J15 12F99 03C50 PDF BibTeX XML Cite \textit{F. V. Kuhlmann} et al., J. Pure Appl. Algebra 169, No. 1, 71--90 (2002; Zbl 0998.12010) Full Text: DOI
Kalhoff, Franz B. On epimorphisms and projectivities of projective planes. (English) Zbl 0973.51002 J. Geom. 69, No. 1-2, 149-165 (2000). Reviewer: Razvan Litcanu (Iaşi) MSC: 51A05 51A30 PDF BibTeX XML Cite \textit{F. B. Kalhoff}, J. Geom. 69, No. 1--2, 149--165 (2000; Zbl 0973.51002) Full Text: DOI
Schörner, Erwin On the completion of real valued ternary fields. (English) Zbl 0980.51011 Result. Math. 38, No. 3-4, 339-347 (2000). Reviewer: M.Stroppel (Stuttgart) MSC: 51G05 PDF BibTeX XML Cite \textit{E. Schörner}, Result. Math. 38, No. 3--4, 339--347 (2000; Zbl 0980.51011) Full Text: DOI
Aschenbrenner, Matthias; van den Dries, Lou Closed asymptotic couples. (English) Zbl 0974.12015 J. Algebra 225, No. 1, 309-358 (2000). Reviewer: Z.Hajto (Kraków) MSC: 12J10 03C60 12L12 PDF BibTeX XML Cite \textit{M. Aschenbrenner} and \textit{L. van den Dries}, J. Algebra 225, No. 1, 309--358 (2000; Zbl 0974.12015) Full Text: DOI Link
Kummetz, Ralph Extending homomorphisms of dense projective subplanes by continuity. (English) Zbl 0933.51009 Result. Math. 35, No. 3-4, 276-283 (1999). Reviewer: G.F.Steinke (Christchurch) MSC: 51H10 51A10 PDF BibTeX XML Cite \textit{R. Kummetz}, Result. Math. 35, No. 3--4, 276--283 (1999; Zbl 0933.51009) Full Text: DOI
Kalhoff, Franz B. On formally real division algebras and quasifields of finite rank. (English) Zbl 0894.12004 J. Geom. 61, No. 1-2, 74-82 (1998). Reviewer: W.Kerby (Hamburg) MSC: 12K99 17A35 51G05 12J15 PDF BibTeX XML Cite \textit{F. B. Kalhoff}, J. Geom. 61, No. 1--2, 74--82 (1998; Zbl 0894.12004) Full Text: DOI
Berr, Ralph Null- and Positivstellensätze for generalized real closed fields. (English) Zbl 0936.12004 J. Pure Appl. Algebra 125, No. 1-3, 19-53 (1998). Reviewer: A.Tschimmel-Faltings (Bonn) MSC: 12J15 14P05 12J20 12L12 PDF BibTeX XML Cite \textit{R. Berr}, J. Pure Appl. Algebra 125, No. 1--3, 19--53 (1998; Zbl 0936.12004) Full Text: DOI
Desainte-Catherine, Myriam; Wenzel, Walter Nonintersecting paths, Pfaffians, and \(\Delta\)-matroids. (English) Zbl 0901.05023 Adv. Appl. Math. 19, No. 4, 471-485 (1997). Reviewer: Herman J.Servatius (Worcester) MSC: 05B35 PDF BibTeX XML Cite \textit{M. Desainte-Catherine} and \textit{W. Wenzel}, Adv. Appl. Math. 19, No. 4, 471--485 (1997; Zbl 0901.05023) Full Text: DOI
Schörner, Erwin On immediate extensions of ultrametric spaces. (English) Zbl 0866.54028 Result. Math. 29, No. 3-4, 361-370 (1996). Reviewer: G.Pestov (Tomsk) MSC: 54E35 12J20 PDF BibTeX XML Cite \textit{E. Schörner}, Result. Math. 29, No. 3--4, 361--370 (1996; Zbl 0866.54028) Full Text: DOI
Bödi, Richard; Kramer, Linus On homomorphisms between generalized polygons. (English) Zbl 0836.51001 Geom. Dedicata 58, No. 1, 1-14 (1995). Reviewer: R.Löwen (Braunschweig) MSC: 51A10 51E12 51H15 PDF BibTeX XML Cite \textit{R. Bödi} and \textit{L. Kramer}, Geom. Dedicata 58, No. 1, 1--14 (1995; Zbl 0836.51001) Full Text: DOI
Kalhoff, Franz B. Topological projective planes and uniform valuations. (English) Zbl 0839.51011 Geom. Dedicata 54, No. 2, 199-224 (1995). Reviewer: H.Klein (Kiel) MSC: 51H10 12K99 51A10 17A80 PDF BibTeX XML Cite \textit{F. B. Kalhoff}, Geom. Dedicata 54, No. 2, 199--224 (1995; Zbl 0839.51011) Full Text: DOI
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
Alling, Norman L.; Kuhlmann, Salma On \(\eta_{\alpha}\)-groups and fields. (English) Zbl 0816.06019 Order 11, No. 1, 85-92 (1994). Reviewer: S.Kuhlmann (Heidelberg) MSC: 06F20 12J15 03C60 PDF BibTeX XML Cite \textit{N. L. Alling} and \textit{S. Kuhlmann}, Order 11, No. 1, 85--92 (1994; Zbl 0816.06019) Full Text: DOI
Gräter, Joachim Central extensions of ordered skew fields. (English) Zbl 0789.12002 Math. Z. 213, No. 4, 531-555 (1993). Reviewer: J.Gräter (Braunschweig) MSC: 12E15 12F05 12J15 12E05 12J10 PDF BibTeX XML Cite \textit{J. Gräter}, Math. Z. 213, No. 4, 531--555 (1993; Zbl 0789.12002) Full Text: DOI EuDML
Prieß-Crampe, Sibylla; Ribenboim, Paulo Fixed points, combs and generalized power series. (English) Zbl 0788.06004 Abh. Math. Semin. Univ. Hamb. 63, 227-244 (1993). Reviewer: H.-J.Kowalsky (Braunschweig) MSC: 06A06 54H25 06F20 12J10 PDF BibTeX XML Cite \textit{S. Prieß-Crampe} and \textit{P. Ribenboim}, Abh. Math. Semin. Univ. Hamb. 63, 227--244 (1993; Zbl 0788.06004) Full Text: DOI
Kalhoff, Franz On multiple-valued ordered projective planes. (English) Zbl 0762.51006 J. Geom. 44, No. 1-2, 87-101 (1992). Reviewer: P.Burda (Ostrava) MSC: 51G05 PDF BibTeX XML Cite \textit{F. Kalhoff}, J. Geom. 44, No. 1--2, 87--101 (1992; Zbl 0762.51006) Full Text: DOI
Gröger, Detlef On the extensions of the ordering of a field to a simple transcendental field extension. (Über die Fortsetzungen der Anordnung eines Körpers auf eine einfach transzendente Erweiterung.) (German) Zbl 0754.12003 J. Geom. 44, No. 1-2, 53-64 (1992). Reviewer: F.B.Kalhoff (Dortmund) MSC: 12J15 12F20 PDF BibTeX XML Cite \textit{D. Gröger}, J. Geom. 44, No. 1--2, 53--64 (1992; Zbl 0754.12003) Full Text: DOI
Kalhoff, Franz On the existence of special quasifields. (English) Zbl 0723.12010 Arch. Math. 58, No. 1, 92-97 (1992). Reviewer: F.Kalhoff (Dortmund) MSC: 12K99 51A40 51G05 PDF BibTeX XML Cite \textit{F. Kalhoff}, Arch. Math. 58, No. 1, 92--97 (1992; Zbl 0723.12010) Full Text: DOI
Kalhoff, F. Semiorderings and localizations of planar ternary rings. (English) Zbl 0786.51015 Abh. Math. Semin. Univ. Hamb. 62, 233-247 (1992). Reviewer: N.Knarr (Braunschweig) MSC: 51G05 12E20 PDF BibTeX XML Cite \textit{F. Kalhoff}, Abh. Math. Semin. Univ. Hamb. 62, 233--247 (1992; Zbl 0786.51015) Full Text: DOI
Redfield, R. H. Lattice-ordered fields as convolution algebras. (English) Zbl 0785.06012 J. Algebra 153, No. 2, 319-356 (1992). Reviewer: N.Schwartz (Passau) MSC: 06F25 12J15 PDF BibTeX XML Cite \textit{R. H. Redfield}, J. Algebra 153, No. 2, 319--356 (1992; Zbl 0785.06012) Full Text: DOI
Kalhoff, Franz A note on places of quasifields. (English) Zbl 0733.12012 J. Geom. 40, No. 1-2, 113-120 (1991). Reviewer: H.Wefelscheid (Duisburg) MSC: 12K99 PDF BibTeX XML Cite \textit{F. Kalhoff}, J. Geom. 40, No. 1--2, 113--120 (1991; Zbl 0733.12012) Full Text: DOI
Eisele, Eberhard Cartesian groups not belonging to topological projective planes. (English) Zbl 0728.51012 J. Geom. 40, No. 1-2, 35-46 (1991). Reviewer: G.Steinke (Christchurch) MSC: 51H10 PDF BibTeX XML Cite \textit{E. Eisele}, J. Geom. 40, No. 1--2, 35--46 (1991; Zbl 0728.51012) Full Text: DOI
Wahl, Wolfgang; Wefelscheid, Heinrich Ordering and valuation in near-fields. (Anordnung und Bewertung in Fastkörpern.) (German) Zbl 0725.12005 Result. Math. 19, No. 3-4, 368-374 (1991). Reviewer: W. Kerby (Hamburg) MSC: 12K05 12J10 12J15 PDF BibTeX XML Cite \textit{W. Wahl} and \textit{H. Wefelscheid}, Result. Math. 19, No. 3--4, 368--374 (1991; Zbl 0725.12005) Full Text: DOI
Saarimäki, Mikko; Sorjonen, Pekka On Banaschewski functions in lattices. (English) Zbl 0724.06007 Algebra Univers. 28, No. 1, 103-118 (1991). Reviewer: G.Călugăreanu (Cluj-Napoca) MSC: 06C15 06F20 06C20 PDF BibTeX XML Cite \textit{M. Saarimäki} and \textit{P. Sorjonen}, Algebra Univers. 28, No. 1, 103--118 (1991; Zbl 0724.06007) Full Text: DOI
Liepold, Frank Zur Vervollständigung bewerteter Schiefkörper. (On the completion of valued skew fields). (German) Zbl 0722.12008 Result. Math. 19, No. 1-2, 122-142 (1991). Reviewer: Th.Grundhöfer (Tübingen) MSC: 12J20 16W80 PDF BibTeX XML Cite \textit{F. Liepold}, Result. Math. 19, No. 1--2, 122--142 (1991; Zbl 0722.12008) Full Text: DOI
Prieß-Crampe, Sibylla The Banach fixed point theorem for ultrametric spaces. (Der Banachsche Fixpunktsatz für ultrametrische Räume.) (German) Zbl 0764.54034 Result. Math. 18, No. 1-2, 178-186 (1990). MSC: 54H25 54E35 12J20 54F05 PDF BibTeX XML Cite \textit{S. Prieß-Crampe}, Result. Math. 18, No. 1--2, 178--186 (1990; Zbl 0764.54034) Full Text: DOI
Eisele, E. Topological ternary fields not belonging to a topological projective plane. (English) Zbl 0721.51016 Abh. Math. Semin. Univ. Hamb. 60, 257-264 (1990). Reviewer: G.Steinke (Christchurch) MSC: 51H10 12K99 12J99 PDF BibTeX XML Cite \textit{E. Eisele}, Abh. Math. Semin. Univ. Hamb. 60, 257--264 (1990; Zbl 0721.51016) Full Text: DOI
Powers, Victoria Higher level orders on noncommutative rings. (English) Zbl 0721.16026 J. Pure Appl. Algebra 67, No. 3, 285-298 (1990). Reviewer: A.F.T.W.Rosenberg (Santa Barbara) MSC: 16W80 11E81 12J15 06F25 PDF BibTeX XML Cite \textit{V. Powers}, J. Pure Appl. Algebra 67, No. 3, 285--298 (1990; Zbl 0721.16026) Full Text: DOI
Fuchino, Sakaé; Koppelberg, Sabine On \(\nu ^ +\)-saturated ordered fields and Boolean algebras. (English) Zbl 0721.03022 Algebra Univers. 27, No. 4, 511-520 (1990). Reviewer: J.Flum (Freiburg i.Br.) MSC: 03C50 06E99 12L12 12J15 03C60 PDF BibTeX XML Cite \textit{S. Fuchino} and \textit{S. Koppelberg}, Algebra Univers. 27, No. 4, 511--520 (1990; Zbl 0721.03022) Full Text: DOI
Kalhoff, Franz B. Trivialization of fans in planar ternary rings with rational prime field. (English) Zbl 0709.51018 Aequationes Math. 39, No. 2-3, 149-160 (1990). Reviewer: P.Burda MSC: 51G05 11E81 12K05 12K10 PDF BibTeX XML Cite \textit{F. B. Kalhoff}, Aequationes Math. 39, No. 2--3, 149--160 (1990; Zbl 0709.51018) Full Text: DOI EuDML
Kalhoff, Franz Anordnungsräume unter der Moulton Konstruktion und Ebenen der Lenz Klasse III. (Spaces of orderings under the Moulton construction and planes of Lenz class III.). (German) Zbl 0709.51017 J. Geom. 38, No. 1-2, 59-77 (1990). Reviewer: N.Knarr MSC: 51G05 51A35 PDF BibTeX XML Cite \textit{F. Kalhoff}, J. Geom. 38, No. 1--2, 59--77 (1990; Zbl 0709.51017) Full Text: DOI
Tecklenburg, Helga Halbgeordnete Ternärkörper. (Halfordered ternary fields.). (German) Zbl 0709.51004 Result. Math. 17, No. 3-4, 307-332 (1990). Reviewer: E.Glock MSC: 51A35 17A40 06F99 PDF BibTeX XML Cite \textit{H. Tecklenburg}, Result. Math. 17, No. 3--4, 307--332 (1990; Zbl 0709.51004) Full Text: DOI
Kalhoff, Franz Witt rings of weakly orderable double loops and nearfields. (English) Zbl 0702.11023 Result. Math. 17, No. 1-2, 106-119 (1990). Reviewer: A.Tschimmel-Faltings MSC: 11E81 20N05 12K05 PDF BibTeX XML Cite \textit{F. Kalhoff}, Result. Math. 17, No. 1--2, 106--119 (1990; Zbl 0702.11023) Full Text: DOI
Robson, Robert O. Local semianalytic geometry. (English) Zbl 0695.14013 Manuscr. Math. 63, No. 2, 215-231 (1989). Reviewer: H.-C.King MSC: 14Pxx 32B20 PDF BibTeX XML Cite \textit{R. O. Robson}, Manuscr. Math. 63, No. 2, 215--231 (1989; Zbl 0695.14013) Full Text: DOI EuDML
Szambien, Horst Minimal topological projective planes. (English) Zbl 0694.51012 J. Geom. 35, No. 1-2, 177-185 (1989). Reviewer: D.Betten MSC: 51H10 12E15 PDF BibTeX XML Cite \textit{H. Szambien}, J. Geom. 35, No. 1--2, 177--185 (1989; Zbl 0694.51012) Full Text: DOI
Fest, Markus; Schröder, Martin Ein nichtkommutativer konvexer Bewertungsring ohne konfinalen Schiefkörper. (A noncommutative convex valuation ring without confinal skew field). (German) Zbl 0682.16019 Arch. Math. 53, No. 2, 141-145 (1989). Reviewer: K.Mathiak MSC: 16Kxx 16W60 16W20 16W80 12J20 PDF BibTeX XML Cite \textit{M. Fest} and \textit{M. Schröder}, Arch. Math. 53, No. 2, 141--145 (1989; Zbl 0682.16019) Full Text: DOI
Kalhoff, Franz Spaces of orderings and Witt rings of planar ternary rings. (English) Zbl 0679.10017 J. Pure Appl. Algebra 58, No. 2, 169-180 (1989). Reviewer: A.Tschimmel-Faltings MSC: 11E16 51G05 11E04 12E15 12J15 12K99 PDF BibTeX XML Cite \textit{F. Kalhoff}, J. Pure Appl. Algebra 58, No. 2, 169--180 (1989; Zbl 0679.10017) Full Text: DOI
Liepold, F.; Prieß-Crampe, Sibylla Uniformitäten angeordneter projektiver Ebenen. (On uniform structures of ordered projective planes). (German) Zbl 0674.51008 Geom. Dedicata 30, No. 1, 1-9 (1989). Reviewer: F.Kalhoff MSC: 51G05 51H10 PDF BibTeX XML Cite \textit{F. Liepold} and \textit{S. Prieß-Crampe}, Geom. Dedicata 30, No. 1, 1--9 (1989; Zbl 0674.51008) Full Text: DOI
Kalhoff, Franz Halbordnungen und Epimorphismen projektiver Ebenen. (On halforders and epimorphisms of projective planes). (German) Zbl 0666.51005 J. Geom. 34, No. 1-2, 74-79 (1989). Reviewer: E.Glock MSC: 51G05 51A10 51A35 PDF BibTeX XML Cite \textit{F. Kalhoff}, J. Geom. 34, No. 1--2, 74--79 (1989; Zbl 0666.51005) Full Text: DOI
Hartmann, Peter; Prieß-Crampe, Sibylla Zur Existenz und Fortsetzbarkeit von o-Epimorphismen angeordneter projektiver Ebenen. (On the existence and extension of o-epimorphisms of ordered projective planes.). (German) Zbl 0686.51005 Abh. Math. Semin. Univ. Hamb. 58, 149-168 (1988). Reviewer: F.Kalhoff MSC: 51G05 51A10 PDF BibTeX XML Cite \textit{P. Hartmann} and \textit{S. Prieß-Crampe}, Abh. Math. Semin. Univ. Hamb. 58, 149--168 (1988; Zbl 0686.51005) Full Text: DOI
Barlotti, Adriano; Strambach, Karl The geometry of double loops. (English) Zbl 0664.51002 Adv. Math. 72, No. 1, 1-58 (1988). Reviewer: F.Kalhoff MSC: 51A15 51A10 20N05 51E30 51H10 20B25 51G05 22A30 PDF BibTeX XML Cite \textit{A. Barlotti} and \textit{K. Strambach}, Adv. Math. 72, No. 1, 1--58 (1988; Zbl 0664.51002) Full Text: DOI
Schwartz, Niels Stability of Gröbner bases. (English) Zbl 0664.13006 J. Pure Appl. Algebra 53, No. 1-2, 171-186 (1988). Reviewer: D.E.Rush MSC: 13F20 13-04 PDF BibTeX XML Cite \textit{N. Schwartz}, J. Pure Appl. Algebra 53, No. 1--2, 171--186 (1988; Zbl 0664.13006) Full Text: DOI
Hartmann, Peter Die Stellentopologie projektiver Ebenen und Lenz-topologische Ebenen. (On the place topology of projective planes and the Lenz-topological planes.). (German) Zbl 0659.51020 Geom. Dedicata 26, No. 3, 259-272 (1988). Reviewer: H.Groh MSC: 51H10 PDF BibTeX XML Cite \textit{P. Hartmann}, Geom. Dedicata 26, No. 3, 259--272 (1988; Zbl 0659.51020) Full Text: DOI
Hartmann, Peter; Prieß-Crampe, Sibylla Zur Fortsetzung von o-Stellen angeordneter Divisionsalgebren. (On extensions of o-places of ordered division algebras). (German) Zbl 0659.51018 Arch. Math. 51, No. 2, 178-180 (1988). Reviewer: N.Knarr MSC: 51G05 51A10 17A35 PDF BibTeX XML Cite \textit{P. Hartmann} and \textit{S. Prieß-Crampe}, Arch. Math. 51, No. 2, 178--180 (1988; Zbl 0659.51018) Full Text: DOI
Grundhöfer, Theo Compact disconnected planes, inverse limits and homomorphisms. (English) Zbl 0653.51015 Monatsh. Math. 105, No. 4, 261-277 (1988). Reviewer: Th.Grundhöfer MSC: 51H10 51A10 PDF BibTeX XML Cite \textit{T. Grundhöfer}, Monatsh. Math. 105, No. 4, 261--277 (1988; Zbl 0653.51015) Full Text: DOI EuDML
Kreuzer, Alexander Zur Abhängigkeit von Anordnungsaxiomen. (On relations between axioms of betweenness). (German) Zbl 0639.51016 J. Geom. 31, No. 1-2, 125-130 (1988). Reviewer: F.Kalhoff MSC: 51G05 PDF BibTeX XML Cite \textit{A. Kreuzer}, J. Geom. 31, No. 1--2, 125--130 (1988; Zbl 0639.51016) Full Text: DOI
Becker, Eberhard On the real spectrum of a ring and its application to semialgebraic geometry. (English) Zbl 0634.14016 Bull. Am. Math. Soc., New Ser. 15, 19-60 (1986). Reviewer: R.O.Robson MSC: 14Pxx 12D15 14A10 03C30 14A05 PDF BibTeX XML Cite \textit{E. Becker}, Bull. Am. Math. Soc., New Ser. 15, 19--60 (1986; Zbl 0634.14016) Full Text: DOI
Redfield, R. H. Embeddings into power series rings. (English) Zbl 0613.06011 Manuscr. Math. 56, 247-268 (1986). Reviewer: K.Keimel MSC: 06F25 16W80 16W60 PDF BibTeX XML Cite \textit{R. H. Redfield}, Manuscr. Math. 56, 247--268 (1986; Zbl 0613.06011) Full Text: DOI EuDML
Löwen, Rainer Lacunary free actions on the real line. (English) Zbl 0569.54039 Topology Appl. 20, 135-141 (1985). Reviewer: H.Hähl MSC: 54H15 57S25 06A05 PDF BibTeX XML Cite \textit{R. Löwen}, Topology Appl. 20, 135--141 (1985; Zbl 0569.54039) Full Text: DOI