The Euler class groups of polynomial rings and unimodular elements in projective modules

DOI10.1016/S0022-4049(03)00102-6zbMath1026.13006MaRDI QIDQ1414053

Mrinal Kanti Das, Raja Sridharan

Publication date: 19 November 2003

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

zbMATH Keywords

projective moduleKrull dimensionEuler class groups

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Class groups (13C20)

Related Items (6)

Existence of unimodular elements in a projective module ⋮ Projective generation of ideals in a certain ring ⋮ Euler class groups and a theorem of Roitman ⋮ The Euler class group of a polynomial algebra. II ⋮ Cancellation of projective modules over polynomial extensions over a two-dimensional ring ⋮ Revisiting Nori's question and homotopy invariance of Euler class groups

Cites Work

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• Some theorems about projective modules over polynomial rings
• The Bass-Quillen conjecture in dimension three but characteristic \(\neq 2,3\) via a question of A. Suslin
• Projective generation of curves in polynomial extensions of an affine domain and a question of Nori
• Serre's conjecture
• Zero cycles and the Euler class groups of smooth real affine varieties
• A question of Nori: Projective generation of ideals
• \(K\)-theory and stable algebra
• The Conjectures of Eisenbud and Evans
• On a Question of Quillen
• Projective Modules over Laurent Polynomial Rings
• Projective modules over polynomial rings

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