Factorization of invertible matrices over rings of stable rank one-Reference-Cited by-同舟云学术

Factorization of invertible matrices over rings of stable rank one

Published:1990-06 Issue:3 Volume:48 Page:455-460
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Vaserstein Leonid N.,Wheland Ethel

Abstract

AbstractEvery invertible n-by-n matrix over a ring R satisfying the first Bass stable range condition is the product of n simple automorphisms, and there are invertible matrices which cannot be written as the products of a smaller number of simple automorphisms. This generalizes results of Ellers on division rings and local rings.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference12 articles.

1. Bass's first stable range condition

2. The stable range of rings and the dimension of topological spaces;Vaserstein;Funkcional. Anal. i Priložen.,1971

3. K1-theory and the congruence subgroup problem;Vaserstein;Mat. Zametki,1969

4. [9] Putnam I. F. , ‘The invertible elements are dense in the irrational rotation C*-algebras’, preprint.

5. Stable range one for rings with many units

Cited by 14 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some decompositions of matrices over local rings;Journal of Algebra and Its Applications;2023-11-03

2. The Width of the Group GL(6,K) with Respect to a Set of Quasiroot Elements;Journal of Mathematical Sciences;2015-08-05

3. Linear groups over general rings. I. Generalities;Journal of Mathematical Sciences;2013-01-12

4. Commutator width in Chevalley groups;NOTE MAT;2013

5. Width of groups of type $\mathrm E_{6}$ with respect to root elements. I;St. Petersburg Mathematical Journal;2012-10-01