Quasi-Euclidean duo rings with elementary reduction of matrices

• Published in: Algebra and Discrete Mathematics
• Date: 2015
• ISSN: 1726-3255
• Main Authors: Romaniv, O., Sagan, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155173
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Quasi-Euclidean duo rings with elementary reduction of matrices / O. Romaniv, A. Sagan // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 317-324. — Бібліогр.: 15 назв. — англ.

We establish necessary and sufficient conditions under which a class of quasi-Euclidean duo rings coincides with a class of rings with elementary reduction of matrices. We prove that a Bezout duo ring with stable range 1 is a ring with elementary reduction of matrices. It is proved that a semiexchan...