Some cancellation theorems about projective modules over polynomial rings

DOI10.1016/0021-8693(87)90247-XzbMath0639.13006OpenAlexW2016865893MaRDI QIDQ1100236

Amit Roy, Shrikaut M. Bhatwadekar

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90247-x

zbMATH Keywords

polynomial ringsunimodular elementcancellative 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) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Related Items (9)

A note on projective modules over polynomial rings ⋮ On rigid rings ⋮ Inversion of monic polynomials and existence of unimodular elements. II ⋮ Singular integrals supported on the image of an analytic function ⋮ Inversion of monic polynomials and existence of unimodular elements ⋮ Finite representation type and direct-sum cancellation. ⋮ The Euler class group of a polynomial algebra with coefficients in a line bundle ⋮ Cancellation of projective modules over polynomial extensions over a two-dimensional ring ⋮ A note on the Serre dimension of polynomial rings

Cites Work

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• Some theorems about projective modules over polynomial rings
• On the Picard group of polynomial rings
• The Conjectures of Eisenbud and Evans
• ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS
• Projective Modules over Laurent Polynomial Rings
• Projective modules over polynomial rings

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