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Factorization of invertible matrices over rings of stable rank one
Part of
- Other groups of matrices
- Basic linear algebra
Leonid N. Vaserstein, Ethel Wheland
Journal:

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics / Volume 48 / Issue 3 / June 1990

Published online by Cambridge University Press:

09 April 2009, pp. 455-460

Print publication:

June 1990
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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