Quasi-Euclidean duo rings with elementary reduction of matrices

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...

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Bibliographic Details
Date:2016
Main Authors: Romaniv, Oleh, Sagan, Andriy
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2016
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/127
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics