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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| Date: | 2015 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2015
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/155173 |
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| 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. |