Diagonalizability theorems for matrices over rings with finite stable range

• Published in: Algebra and Discrete Mathematics
• Date: 2005
• Main Author: Zabavsky, B.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156607
• 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.

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 Euclide...