Characterizing reduced Witt rings of fields

DOI10.1016/0021-8693(78)90205-3zbMath0376.12008OpenAlexW2005257532MaRDI QIDQ1245865

Thomas C. Craven

Publication date: 1978

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90205-3

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Quadratic and bilinear forms, inner products (15A63) Quaternion and other division algebras: arithmetic, zeta functions (11R52) General binary quadratic forms (11E16)

Related Items

Fields maximal with respect to a set of orderings, Algebraic K-theory of quadratic forms, Spaces of orderings and Witt rings of planar ternary rings, Pythagorean fields and the Kaplansky radical, Topological spaces as spaces of \(\mathbb R\)-places, An application of Polya's theory of counting to an enumeration problem arising in quadratic form theory, On the structure of Pythagorean fields, Witt rings and orderings of skew fields, Koszul algebras and quadratic duals in Galois cohomology, Abstract theory of semiorderings, Witt rings and matroids, Quadratic Forms, A generalization of Marshall’s equivalence relation, Semiorderings and Witt rings, A class of finite commutative rings constructed from Witt rings, Hermitian forms over ordered *-fields, On Galois groups over Pythagorean and semi-real closed fields

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