Factorization of Invertible Matrices Over Rings of Stable Rank One

Leonid N. Vaserstein, Ethel Wheland

Research output: Contribution to journalArticle

13 Citations (Scopus)

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

Fingerprint

Stable Rank
Invertible matrix
Automorphisms
Factorization
Ring
Division ring or skew field
Local Ring
Invertible
Generalise
Range of data

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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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.",
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Factorization of Invertible Matrices Over Rings of Stable Rank One. / Vaserstein, Leonid N.; Wheland, Ethel.

In: Journal of the Australian Mathematical Society, Vol. 48, No. 3, 06.1990, p. 455-460.

Research output: Contribution to journalArticle

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