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 language | English (US) |
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Pages (from-to) | 455-460 |
Number of pages | 6 |
Journal | Journal of the Australian Mathematical Society |
Volume | 48 |
Issue number | 3 |
DOIs | |
State | Published - Jun 1990 |
All Science Journal Classification (ASJC) codes
- General Mathematics