Diagonalizability theorem for matrices over certain domains

• Date: 2018
• Main Authors: Zabavsky, Bogdan, Domsha, Olga
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: a Bezout domain; a ring of stable range 1; an adequate domain; a co-adequate element; an element of almost stable range 1; an elementary divisors ring; Type AMS subject classification here..
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/676
• Journal Title: Algebra and Discrete Mathematics

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.