Bogdan Zabavsky, Olga Domsha, “Diagonalizability theorem for matrices over certain domains”, Algebra Discrete Math., 2011, Volume 12, Issue 1,Pages <nobr>132

This article is cited in 1 paper

RESEARCH ARTICLE

Diagonalizability theorem for matrices over certain domains

Bogdan Zabavsky, Olga Domsha

Ivan Franko National University of Lviv, Universytetska, 1, Lviv, Ukraine, 79000

Abstract: 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.

Keywords: 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.

Received: 06.05.2011
Revised: 07.10.2011

Language: English