Unimodular elements in projective modules

DOI10.1016/S0021-8693(05)80004-3zbMath0839.13006MaRDI QIDQ1891491

Hartmut Lindel

Publication date: 19 June 1996

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

zbMATH Keywords

projective modulegraded ringsLaurent polynomial ringunimodular elementsHodge algebras

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Formal power series rings (13F25) Rings with straightening laws, Hodge algebras (13F50)

Related Items (19)

Serre dimension of monoid algebras ⋮ On Serre dimension of monoid algebras and Segre extensions ⋮ Projective modules and orbit space of unimodular rows over discrete Hodge algebras over a non-Noetherian ring ⋮ \(K_0\)-stability over monoid algebras ⋮ Cancellation problem for projective modules over affine algebras ⋮ Euler class group of a Laurent polynomial ring: local case ⋮ Projective modules over overrings of polynomial rings and a question of Quillen ⋮ On the existence of unimodular elements and cancellation of projective modules over noetherian and non-noetherian rings ⋮ Efficient generation of ideals over a certain monoid algebra ⋮ The Euler class group of a polynomial algebra. ⋮ A note on cancellation of projective modules ⋮ The Euler class group of a polynomial algebra with coefficients in a line bundle ⋮ Projective modules over overrings of polynomial rings ⋮ Some Results about Projective Modules over Monoid Algebras ⋮ -THEORY OF MONOID ALGEBRAS AND A QUESTION OF GUBELADZE ⋮ On a question of Moshe Roitman and Euler class of stably free module ⋮ Stability results for projective modules over blowup rings ⋮ Unimodular rows over monoid extensions of overrings of polynomial rings ⋮ Efficient generation of ideals in overrings of polynomial rings

Cites Work

• On automorphisms of modules over polynomial rings
• Some theorems about projective modules over polynomial rings
• On efficient generation of ideals
• A group structure on certain orbit sets of unimodular rows
• A note on projective modules over polynomial rings
• The Bass-Murthy question: Serre dimension of Laurent polynomial extensions
• The Picard group of a monoid domain
• Some properties of projective modules over discrete Hodge algebras
• Serre's conjecture
• Cancellation properties of projective modules over Laurent polynomial rings
• The Serre problem for discrete Hodge algebras
• Generating modules efficiently: Theorems from algebraic K-theory
• \(K\)-theory and stable algebra
• The Conjectures of Eisenbud and Evans
• An Elementary Transformation of a Special Unimodular Vector to Its Top Coefficient Vector
• ANDERSON'S CONJECTURE AND THE MAXIMAL MONOID CLASS OVER WHICH PROJECTIVE MODULES ARE FREE
• A Question of H. Bass on the Cancellative Nature of Large Projective Modules Over Polynomial Rings
• 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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