Diagonalizability theorem for matrices over certain domains

• Published in: Algebra and Discrete Mathematics
• Date: 2011
• Main Authors: Zabavsky, B., Domsha, O.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154856
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Diagonalizability theorem for matrices over certain domains / B. Zabavsky, O. Domsha // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 1. — С. 132–139. — Бібліогр.: 9 назв. — англ.

It is proved that R is a commutative adequate domain, then R is the domain of stable range 1 in localization in multiplicative closed set which corresponds s-torsion in the sense of Komarnitskii.