Factorization of Invertible Matrices Over Rings of Stable Rank One

Leonid N. Vaserstein, Ethel Wheland

Research output: Contribution to journalArticle

13 Scopus citations

Abstract

Every 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.

Original languageEnglish (US)
Pages (from-to)455-460
Number of pages6
JournalJournal of the Australian Mathematical Society
Volume48
Issue number3
DOIs
StatePublished - Jun 1990

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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