Quadratic spaces with trivial Arf invariant

DOI10.1016/0021-8693(85)90160-7zbMath0625.16003OpenAlexW2076496295MaRDI QIDQ579373

Antonio Paques, Max-Albert Knus

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90160-7

zbMATH Keywords

projective modulesClifford algebraAzumaya R-algebrasrank 4 quadratic spacestrivial Arf invariant

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Projective and free modules and ideals in commutative rings (13C10) Clifford algebras, spinors (15A66) Quadratic and bilinear forms, inner products (15A63) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items

On rank 4 quadratic spaces with given Arf and Witt invariants ⋮ Classifying nonsingular quadratic forms of rank three ⋮ Pfaffians and quadratic forms ⋮ A local determination theorem for finite principal homogeneous spaces ⋮ Surjectivity of the total Clifford invariant and Brauer dimension ⋮ Unnamed Item

Cites Work

• Projective modules and Hermitian matrices
• Quadratic forms over semilocal rings
• Quadratic and Hermitian forms in additive and Abelian categories
• Théorie de la descente et algèbres d'Azumaya
• Forms over rings with involution
• Clifford Algebras and Spinor Norms Over a Commutative Ring
• Sur les algèbres de Clifford
• Sur les deux premiers invariants d'une forme quadratique
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