scientific article

Publication date: 1980

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

quadratic forms abstract Witt ring spaces of orderings quaternionic structure reduced Witt rings semi-local ring finitely generated Witt rings

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Quadratic forms over local rings and fields (11E08)

Related Items

Witt rings of quaternion algebras, Characteristic 4 Witt rings that are the product of group rings, Witt rings of quadratically presentable fields, Rigid elements, valuations, and realization of Witt rings, Combinatorial techniques and abstract Witt rings. I, Pro-$p$ Galois groups of algebraic extensions of $\mathbb{Q}$, Crystal growth and Witt rings, Demuškin groups, Galois modules, and the elementary type conjecture, A Galois-theoretic characterization of $p$-adically closed fields, Local Artinian rings and the Fröberg relation, A representation theorem for higher level reduced Witt rings, A recursive description of the maximal pro-2 Galois group via Witt rings, A simple system of axioms for spaces of signatures, Spaces of orderings and Witt rings of planar ternary rings, On some sheaves of special groups, Enhanced Koszul properties in Galois cohomology, Special groups whose isometry relation is a finite union of cosets, Witt groups and the elementary type conjecture, Quadratic Forms, Rigid Elements and Nonreal Preorders, Automorphisms of Witt rings of local type, $K$-regular Witt rings, Witt equivalence of function fields over global fields, An abstract approach to higher level forms and rigidity, Picard groups of Witt rings, Symbol length and stability index, Witt rings and almost free pro-2-groups, Characterization of fans in *-fields, Structure theorems for AP rings, Witt equivalence of fields: A survey with a special emphasis on applications of hyperfields, Round quadratic forms, Witt groups of Hermitian forms over $\ast$-fields, Quadratic forms over dyadic valued fields. II: Relative rigidity and Galois cohomology, Pro-2-Demuškin groups of rank ${\aleph{}}_ 0$ as Galois groups of maximal 2-extensions of fields, Generic splitting for special groups, Witt rings and matroids, On strong automorphisms of direct products of Witt rings. I, On strong automorphisms of direct products of Witt rings. II, Quadratic form theory over preordered von Neumann-regular rings, Ideal class groups of Witt rings, Powers of the fundamental ideal in the Witt ring, Quadratic Forms, Some model-theoretic results in the algebraic theory of quadratic forms, A generalization of Marshall’s equivalence relation, W-groups and values of binary forms, Semiorderings and Witt rings, Counting Witt rings, Bass Series for Small Witt Rings, A class of finite commutative rings constructed from Witt rings, Hermitian forms over ordered *-fields, Functorial relationships between multirings and the various abstract theories of quadratic forms, Division probability for quaternion algebras over fields, Finitely generated pro-$p$ Galois groups of $p$-Henselian fields, Torsion-free modules over reduced Witt rings, Quadratic forms and pro 2-groups. II: The Galois group of the Pythagorean closure of a formally real field, Algebraic $K$-theory of special groups, Graded Witt rings of elementary type, Primary ideals in Witt rings, Local-global principles for Witt rings, Additive symmetric bijections on geometric structures, The Graded Witt Ring and Galois Cohomology. II, Higher level form schemes