Inversion of monic polynomials and existence of unimodular elements. II

DOI10.1007/BF01230283zbMath0638.13012MaRDI QIDQ1099224

Shrikaut M. Bhatwadekar

Publication date: 1989

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174003

zbMATH Keywords

monic polynomialunimodular elementprojective module over a polynomial ring

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25)

Related Items (9)

Serre dimension of monoid algebras ⋮ On Serre dimension of monoid algebras and Segre extensions ⋮ Existence of unimodular elements in a projective module ⋮ Unimodular elements in projective modules and an analogue of a result of mandal ⋮ On a question of Nori: obstructions, improvements, and applications ⋮ On invariance of the Euler class groups under a subintegral base change ⋮ The Euler class group of a polynomial algebra with coefficients in a line bundle ⋮ On a question of Moshe Roitman and Euler class of stably free module ⋮ Efficient generation of ideals in overrings of polynomial rings

Cites Work

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• Some theorems about projective modules over polynomial rings
• On the Picard group of polynomial rings
• Some theorems on generation of ideals in affine algebras
• The Bass-Murthy question: Serre dimension of Laurent polynomial extensions
• Some cancellation theorems about projective modules over polynomial rings
• Generating modules efficiently: Theorems from algebraic K-theory
• On projective modules over polynomial rings
• Projective modules over polynomial rings

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