Diagonalizability theorems for matrices over rings with finite stable range
We construct the theory of diagonalizability for matrices over Bezout ring with finite stable range. It is shown that every commutative Bezout ring with compact minimal prime spectrum is Hermite. It is also shown that a principal ideal domain with stable range 1 is Euclidean domain, and every sem...
Saved in:
| Date: | 2005 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2005
|
| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/156607 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Diagonalizability theorems for matrices over rings with finite stable range / B. Zabavsky // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 1. — С. 151–165. — Бібліогр.: 35 назв. — англ. |