Reduction of Matrices over Bezout Rings of Stable Rank not Higher than 2

• Date: 2003
• Main Authors: Zabavskii, B. V., Забавський, Б. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2003
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3929
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove that a commutative Bezout ring is an Hermitian ring if and only if it is a Bezout ring of stable rank 2. It is shown that a noncommutative Bezout ring of stable rank 1 is an Hermitian ring. This implies that a noncommutative semilocal Bezout ring is an Hermitian ring. We prove that the Bezo...