The elementary action on unimodular rows over a monoid ring

DOI10.1016/0021-8693(92)90241-DzbMath0795.20056OpenAlexW2107144331MaRDI QIDQ1188130

Joseph Gubeladze

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90241-d

zbMATH Keywords

elementary matricesfinitely generated projective modulesunimodular rowscommutative Noetherian ringstably free modulesfinite Krull dimensionstably extended

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Ordinary and skew polynomial rings and semigroup rings (16S36) Projective and free modules and ideals in commutative rings (13C10) Semigroup rings, multiplicative semigroups of rings (20M25) Linear algebraic groups over adèles and other rings and schemes (20G35) Stability for projective modules (19A13)

Related Items

Serre dimension of monoid algebras, On Serre dimension of monoid algebras and Segre extensions, Unimodular elements in projective modules and an analogue of a result of mandal, \(K_0\)-stability over monoid algebras, Nontriviality of \(SK_ 1 (R[ M)\)], The isomorphism problem for monoid rings of rank \(2\) monoids, Stability results for projective modules over Rees algebras, A note on cancellation of projective modules, Isotropic reductive groups over discrete Hodge algebras, Unimodular rows over monoid rings, The isomorphism problem for commutative monoid rings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A module structure on certain orbit sets of unimodular rows
• Orbits of Euclidean frames under discrete linear groups
• Divisorial ideals and invertible ideals in a graded integral domain
• Projective modules over Krull semigroup rings
• Serre's conjecture
• Projective modules over subrings of \(k[x,y\) generated by monomials]
• \(K_2(A[X,Y/XY)\), a problem of Swan, and related computations]
• An Elementary Transformation of a Special Unimodular Vector to Its Top Coefficient Vector
• K1 of the cone over a curve.
• ANDERSON'S CONJECTURE AND THE MAXIMAL MONOID CLASS OVER WHICH PROJECTIVE MODULES ARE FREE
• THE GEOMETRY OF TORIC VARIETIES
• Krull Semigroups and Divisor Class Groups
• ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS
• A Note on Semigroup Rings
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
• Introduction to Algebraic K-Theory. (AM-72)
• ON THE STABILIZATION OF THE GENERAL LINEAR GROUP OVER A RING
• Projective modules over polynomial rings
• Excision in algebraic \(K\)-theory