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Algebra and Discrete Mathematics, 2015, том 20, выпуск 2, страницы 317–324
(Mi adm546)
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RESEARCH ARTICLE
Quasi-Euclidean duo rings with elementary reduction of matrices
O. Romaniv, A. Sagan Department of Mechanics and Mathematics, Ivan Franko National University of L'viv
Аннотация:
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 semiexchange quasi-duo Bezout ring is a ring with elementary reduction of matrices iff it is a duo ring.
Ключевые слова:
Bezout ring, duo ring, stable range, semiexchange ring, ring with elementary reduction of matrices.
Поступила в редакцию: 17.11.2015 Исправленный вариант: 17.11.2015
Образец цитирования:
O. Romaniv, A. Sagan, “Quasi-Euclidean duo rings with elementary reduction of matrices”, Algebra Discrete Math., 20:2 (2015), 317–324
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm546 https://www.mathnet.ru/rus/adm/v20/i2/p317
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Страница аннотации: | 164 | PDF полного текста: | 75 | Список литературы: | 67 |
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