Extendability of quadratic modules with sufficient Witt index

DOI10.1016/0021-8693(84)90062-0zbMath0537.10013OpenAlexW4213042615MaRDI QIDQ792371

Ravi A. Rao

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90062-0

zbMATH Keywords

extendabilityregular local ringquadratic analogue of Serre conjecturequadratic spaces over polynomial ringsWitt-index

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Regular local rings (13H05) Quadratic forms over local rings and fields (11E08)

Related Items (6)

The Homotopy Obstructions in Complete Intersections ⋮ Comparison of Petrov’s odd elementary hyperbolic unitary group and Dickson-Siegel-Eichler-Roy elementary orthogonal group ⋮ Extendability of quadratic modules over a polynomial extension of an equicharacteristic regular local ring ⋮ Normality of DSER elementary orthogonal group ⋮ Extendability of quadratic modules with sufficient Witt index. II ⋮ Homotopy and commutativity principle

Cites Work

• Efficient generation of ideals in polynomial rings
• On the Bass-Quillen conjecture concerning projective modules over polynomial rings
• Cancellation of quadratic forms over principal ideal domains
• Application of patching diagrams to some questions about projective modules
• A splitting theorem for quadratic forms
• Quadratic spaces over polynomial extensions of regular rings of dimension 2
• Locally polynomial algebras are symmetric algebras
• Serre's conjecture
• Cancellation of quadrate forms over commutative rings
• The Brauer Group of a Commutative Ring
• The general linear group of polynomial rings over regular rings
• Quadratic Forms Over Polynomial Rings Over Dedekind Domains
• Clifford Algebras and Spinor Norms Over a Commutative Ring
• ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS
• Projective Modules over Laurent Polynomial Rings
• Projective A [X -Modules]
• Projective modules over polynomial rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Extendability of quadratic modules with sufficient Witt index