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Algebra and Discrete Mathematics, 2012, том 14, выпуск 2, страницы 230–235
(Mi adm95)
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RESEARCH ARTICLE
Reduction of matrices over Bezout domains of stable range 1 with Dubrovin's condition in which maximal nonprincipal ideals are two-sides
Tetyana Kysila, Bogdan Zabavskiyb, Olga Domshab a Khmelnitsky National University, The faculty of Applied Mathematics and Computer Technologies, Applied Mathematics and Social Informatics Department
b Lviv national university named after I. Franko, The faculty of Mechanics and Mathematics, The chair of Algebra and Logic
Аннотация:
It is proved that each matrix over Bezout domain of stable range $1$ with Dubrovin's condition, in which every maximal nonprincipal ideals are tho-sides ideals, is equivalent to diagonal one with right total division of diagonal elements.
Ключевые слова:
Bezout domain, domain of stable range 1, Dubrovin's condition, maximal nonprincipal ideal, right total division.
Поступила в редакцию: 21.04.2012 Исправленный вариант: 19.05.2012
Образец цитирования:
Tetyana Kysil, Bogdan Zabavskiy, Olga Domsha, “Reduction of matrices over Bezout domains of stable range 1 with Dubrovin's condition in which maximal nonprincipal ideals are two-sides”, Algebra Discrete Math., 14:2 (2012), 230–235
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm95 https://www.mathnet.ru/rus/adm/v14/i2/p230
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