Quadratic Spaces Over Laurent Extensions of Dedekind Domains

DOI10.2307/1999224zbMath0514.13005OpenAlexW4253051680MaRDI QIDQ3659879

Raman Parimala

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999224

zbMATH Keywords

Dedekind domainisotropic quadratic space over Laurent ring

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Extension theory of commutative rings (13B02) Quadratic and bilinear forms, inner products (15A63) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) General binary quadratic forms (11E16)

Related Items (6)

Isotopes of octonion algebras, \(\mathbf{G}_{2}\)-torsors and triality ⋮ Quadratic spaces over polynomial extensions of regular rings of dimension 2 ⋮ Galois cohomology and forms of algebras over Laurent polynomial rings ⋮ A classification of torsors over Laurent polynomial rings ⋮ Torsors of isotropic reductive groups over Laurent polynomials ⋮ Stable structure and cancellation of quadratic spaces over Laurent extensions of rings of dimension one

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stable structure and cancellation of quadratic spaces over Laurent extensions of rings of dimension one
• Non-free projective modules over H(X,Y) and stable bundles over \(P_ 2(\)C)
• Modules which support nonsingular forms
• Cancellation of quadrate forms over commutative rings
• Cancellation of Azumaya algebras
• Failure of a Quadratic Analogue of Serre's Conjecture
• Quadratic Forms Over Polynomial Rings Over Dedekind Domains
• Localisation de formes quadratiques. II
• Projective Modules over Laurent Polynomial Rings
• Some Witt Cancellation Theorems

This page was built for publication: Quadratic Spaces Over Laurent Extensions of Dedekind Domains