Witt's theorem for noncommutative semilocal rings

DOI10.1016/0021-8693(75)90061-7zbMath0306.16017OpenAlexW2070553731MaRDI QIDQ1217875

S. Singh

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0021-8693(75)90061-7

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Noncommutative local and semilocal rings, perfect rings (16L30) General binary quadratic forms (11E16)

Related Items (14)

Unnamed Item ⋮ A remark on quadratic spaces over noncommutative semilocal rings ⋮ Algebraic K-theory of quadratic forms ⋮ On the non-neutral component of outer forms of the orthogonal group ⋮ An 8-periodic exact sequence of Witt groups of Azumaya algebras with involution ⋮ Patching and weak approximation in isometry groups ⋮ Witt's extension theorem for quadratic spaces over semiperfect rings ⋮ Generators and relations for the unitary group of a skew Hermitian form over a local ring ⋮ The equivalence of sesquilinear forms ⋮ The orthogonal group over a full ring ⋮ Normality and \(K_1\)-stability of Roy's elementary orthogonal group ⋮ Quadratic and Hermitian forms in additive and Abelian categories ⋮ Some extensions of Witt's theorem† ⋮ General bilinear forms.

Cites Work

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• Isometrien über semilokalen Ringen
• Forms over semisimple algebras with involution
• A structure theory for Jordan algebras
• Algèbre

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