Polynomial rings and their projective modules

DOI10.1017/S0027763000001288zbMath0663.13006OpenAlexW1537445040MaRDI QIDQ3813894

Dorin Popescu

Publication date: 1989

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000001288

zbMATH Keywords

regular ringpolynomial algebrafinitely generated projective moduleBass-Quillen conjecture

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Regular local rings (13H05)

Related Items (17)

Problems about torsors over regular rings ⋮ On the number of generators of ideals in polynomial rings ⋮ Projective modules over overrings of polynomial rings and a question of Quillen ⋮ On a question of Nori: obstructions, improvements, and applications ⋮ \(\mathbb{A}^1\)-connected components of classifying spaces and purity for torsors ⋮ Around General Neron Desingularization ⋮ Unnamed Item ⋮ Elementary symplectic orbits and improved K₁-stability ⋮ Orbit spaces of unimodular rows over smooth real affine algebras ⋮ Affine representability results in \(\mathbb A^1\)-homotopy theory. II: Principal bundles and homogeneous spaces ⋮ ¹-Homotopy of Chevalley Groups ⋮ Injective stability for \(K_1\) of classical modules ⋮ Chevalley groups of polynomial rings over Dedekind domains ⋮ On triviality of the Euler class group of a deleted neighbourhood of a smooth local scheme ⋮ On a question of Moshe Roitman and Euler class of stably free module ⋮ Unimodular rows over monoid extensions of overrings of polynomial rings ⋮ Homotopy and commutativity principle

Cites Work

• On the Bass-Quillen conjecture concerning projective modules over polynomial rings
• General Néron desingularization and approximation
• On projective modules over polynomial rings
• Projective modules over polynomial rings

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