On projective modules over polynomial rings

DOI10.1016/0021-8693(79)90188-1zbMath0437.13003OpenAlexW2027130163MaRDI QIDQ5904413

Moshe Roitman

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90188-1

zbMATH Keywords

noetherian ringunimodular elementsprojective modules over polynomial ringsnonfinitely generated projective module

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Extension theory of commutative rings (13B02)

Related Items

Problems about torsors over regular rings ⋮ Unimodular elements in projective modules and an analogue of a result of mandal ⋮ Inversion of monic polynomials and existence of unimodular elements. II ⋮ Efficient generation of ideals in polynomial rings ⋮ Monic inversion principle and complete intersection ⋮ Singular integrals supported on the image of an analytic function ⋮ On the Bass-Quillen conjecture concerning projective modules over polynomial rings ⋮ Inversion of monic polynomials and existence of unimodular elements ⋮ Free algebras over Bezout domains are Sylvester domains ⋮ The Euler class group of a polynomial algebra with coefficients in a line bundle ⋮ Polynomial rings and their projective modules ⋮ Euler class groups and a theorem of Roitman ⋮ Algebraic K-theory ⋮ Ideals Containing Monics ⋮ Finitely generated projective modules over row and column finite matrix rings ⋮ The Serre problem for discrete Hodge algebras ⋮ On the conormal bundle of ideals ⋮ Modules ⋮ On a question of Moshe Roitman and Euler class of stably free module ⋮ A note on the Serre dimension of polynomial rings

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• Projective modules over polynomial rings