J Austral Math Soc Ser A 48 pp455--460, 1990.

Factorization of Invertible Matrices Over Rings of Stable Rank One

Leonid N. Vaserstein and Ethel Wheland

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.

1980 AMS Subject Classification (1985 Revision): primary 15A23; secondary 20H25

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Authors

Leonid N. Vaserstein

Ethel Wheland

The Pennsylvania State University, University Park, Pennsylvania 16802, U.S.A.