Abstract
In this paper we present a matrix-constructive proof of an Stafford’s Theorem about stably free modules over noncommutative rings. Matrix characterizations of noncommutative Hermite and projective-free rings are exhibit. Quotients, products and localizations of Hermite and some other classes of rings close related to Hermite rings are also considered.
| Original language | English |
|---|---|
| Pages (from-to) | 109-137 |
| Number of pages | 29 |
| Journal | Algebra and Discrete Mathematics |
| Volume | 18 |
| Issue number | 1 |
| State | Published - 2014 |
| Externally published | Yes |
Keywords
- Hermite rings
- Matrix methods in homological algebra
- Noncommutative rings and modules
- Stably free modules