scientific article

Publication date: 1983

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

valuation theory ordered projective plane ordered loops, groups and fields

Ordered geometries (ordered incidence structures, etc.) (51G05) Ordered groups (06F15) Ordered fields (12J15) Topological linear incidence structures (51H10) Ternary compositions (17A40)

Related Items

Analytical properties of power series on Levi-Civita fields, On central extensions of \(\operatorname{SL}(2,F)\) admitting left-orderings, On the analyticity of WLUD^∞ functions of one variable and WLUD^∞ functions of several variables in a complete non-Archimedean valued field, On \(\eta_{\alpha}\)-groups and fields, Approximation theorems for topological, valued, and ordered nearfields, Embeddings into power series rings, Analysis on the Levi-Civita field and computational applications, A local mean value theorem for functions on non-Archimedean field extensions of the real numbers, On points at infinity of real spectra of polynomial rings, The automorphism group of a valued field of generalised formal power series, Cayley-Klein geometries and projective-metric geometry, Zur Abhängigkeit von Anordnungsaxiomen. (On relations between axioms of betweenness), Topological projective planes and uniform valuations, On homomorphisms between generalized polygons, A theory of duality in Euclidean geometry, On \(\nu ^ +\)-saturated ordered fields and Boolean algebras, Higher level orders on noncommutative rings, Topological ternary fields not belonging to a topological projective plane, Generalized power series on a non-Archimedean field, Compactification of varieties, Compact disconnected planes, inverse limits and homomorphisms, Pseudo completions and completions in stages of o-minimal structures, Zur Fortsetzung von o-Stellen angeordneter Divisionsalgebren. (On extensions of o-places of ordered division algebras), Die Stellentopologie projektiver Ebenen und Lenz-topologische Ebenen. (On the place topology of projective planes and the Lenz-topological planes.), The geometry of double loops, Stability of Gröbner bases, Halbordnungen und Epimorphismen projektiver Ebenen. (On halforders and epimorphisms of projective planes), Uniformitäten angeordneter projektiver Ebenen. (On uniform structures of ordered projective planes), Null- and Positivstellensätze for generalized real closed fields, On immediate extensions of ultrametric spaces, Spaces of orderings and Witt rings of planar ternary rings, Nonintersecting paths, Pfaffians, and \(\Delta\)-matroids, On formally real division algebras and quasifields of finite rank, A weaker smoothness criterion for the inverse function theorem, the intermediate value theorem, and the mean value theorem in a non-Archimedean setting, Why did Euclid not need the Pasch axiom?, On the real spectrum of a ring and its application to semialgebraic geometry, On a new measure on the Levi-Civita field \(\mathcal{R}\), Arithmetization of the field of reals with exponentiation extended abstract, The implicit function theorem in a non-Archimedean setting, On locally uniformly differentiable functions on a complete non-Archimedean ordered field extension of the real numbers, Cyclic order: a geometric analysis, Minimal topological projective planes, Local semianalytic geometry, Approximate roots of a valuation and the Pierce-Birkhoff conjecture, On even orthogonally additive mappings in orthogonality spaces, Witt rings of weakly orderable double loops and nearfields, Taylor's theorem, the inverse function theorem and the implicit function theorem for weakly locally uniformly differentiable functions on non-Archimedean spaces, The Axiomatic Destiny of the Theorems of Pappus and Desargues, Halbgeordnete Ternärkörper. (Halfordered ternary fields.), Anordnungsräume unter der Moulton Konstruktion und Ebenen der Lenz Klasse III. (Spaces of orderings under the Moulton construction and planes of Lenz class III.), Trivialization of fans in planar ternary rings with rational prime field, The Banach fixed point theorem for ultrametric spaces, Constrained second order optimization on non-archimedean fields, Closed asymptotic couples, The Valuation Difference Rank of a Quasi-Ordered Difference Field, Surreal numbers with derivation, Hardy fields and transseries: a survey, Positive semifields and their ideals, A structure theorem for abelian quasi-ordered groups, Connes' embedding conjecture and sums of Hermitian squares, On the extensions of the ordering of a field to a simple transcendental field extension, On multiple-valued ordered projective planes, Absolute isotropic geometry, Lattice-ordered fields as convolution algebras, The axiomatics of ordered geometry: I. Ordered incidence spaces, On the Kleinewillinghöfer types of flat Laguerre planes, Preorders, left orderings, and valuation of near-fields, On the topological structure of the Levi-Civita field, One-variable and multi-variable calculus on a non-Archimedean field extension of the real numbers, On the Pierce-Birkhoff conjecture, A method for constructing left ordered Dickson nearfields, Liouville closed \(H\)-fields, Asymptotic cones of finitely presented groups, On Banaschewski functions in lattices, Ordering and valuation in near-fields, Calculus on a non-Archimedean field extension of the real numbers: inverse function theorem, intermediate value theorem and mean value theorem, A Baer-Krull theorem for quasi-ordered groups, Semiorderings and localizations of planar ternary rings, Zur Existenz und Fortsetzbarkeit von o-Epimorphismen angeordneter projektiver Ebenen. (On the existence and extension of o-epimorphisms of ordered projective planes.), On connectedness of sets in the real spectra of polynomial rings, Maps on Ultrametric Spaces, Hensel's Lemma, and Differential Equations Over Valued Fields, Zur Vervollständigung bewerteter Schiefkörper. (On the completion of valued skew fields), On the existence of special quasifields, Ein nichtkommutativer konvexer Bewertungsring ohne konfinalen Schiefkörper. (A noncommutative convex valuation ring without confinal skew field), On integrable delta functions on the Levi-Civita field, On the completion of real valued ternary fields, On epimorphisms and projectivities of projective planes, Extending homomorphisms of dense projective subplanes by continuity, On the construction of valued Dickson near-fields., Lacunary free actions on the real line, The holomorphy rings of planar ternary rings with rational prime field, Fixed points, combs and generalized power series, Cartesian groups not belonging to topological projective planes, Embedding ordered fields in formal power series fields, A note on places of quasifields, Central extensions of ordered skew fields, The rise of non-Archimedean mathematics and the roots of a misconception. I: The emergence of non-Archimedean systems of magnitudes, Logarithms, constructible functions and integration on non-archimedean models of the theory of the real field with restricted analytic functions with value group of finite archimedean rank, On the solutions of linear ordinary differential equations and Bessel-type special functions on the Levi-Civita field, Relatively projective groups as absolute Galois groups