Witt rings and matroids

DOI10.1090/S0002-9939-2012-11428-5zbMath1296.11025OpenAlexW2089332891MaRDI QIDQ4910763

Thomas C. Craven, Zachary A. Kent

Publication date: 19 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11428-5

zbMATH Keywords

Witt ringquadratic formmatroidformally real fieldstability index

Mathematics Subject Classification ID

Discrete geometry (52Cxx) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Combinatorial aspects of matroids and geometric lattices (05B35)

Cites Work

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• Characterizing reduced Witt rings of fields
• Signatures on semilocal rings
• The Witt Ring of a Space of Ordering
• Stability in Witt Rings
• Signatures and Semi Signatures of Abstract Witt Rings and Witt Rings of Semilocal Rings
• A class of finite commutative rings constructed from Witt rings
• Structure of Witt Rings and Quotients of Abelian Group Rings
• Abstract theory of semiorderings

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