Cancellation of quadratic forms over principal ideal domains

DOI10.1016/0022-4049(82)90016-0zbMath0483.10023OpenAlexW2046963376MaRDI QIDQ1163049

Raman Parimala

Publication date: 1982

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(82)90016-0

zbMATH Keywords

principal ideal domainquadratic spacesWitt cancellationisotropic spacesquadratic form on projective module

Mathematics Subject Classification ID

Principal ideal rings (13F10) General binary quadratic forms (11E16)

Related Items (5)

Espaces quadratiques sur un anneau regulier ⋮ Cancellation of symmetric bilinear forms over dedekind domains ⋮ Extendability of quadratic modules with sufficient Witt index ⋮ Extendability of quadratic modules with sufficient Witt index. II ⋮ Cancellation of hyperbolic ε-hermitian forms and of simple knots

Cites Work

• Unnamed Item
• Quadratic forms over rings of dimension 1
• Non-free projective modules over H(X,Y) and stable bundles over \(P_ 2(\)C)
• Cancellation of quadrate forms over commutative rings
• Cancellation of Azumaya algebras
• Unique factorization in algebraic function fields
• Modules and Quadratic Forms over Polynomial Algebras
• Some Witt Cancellation Theorems

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