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Algebra and Discrete Mathematics, 2005, выпуск 2, страницы 46–57
(Mi adm302)
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Эта публикация цитируется в 6 научных статьях (всего в 6 статьях)
RESEARCH ARTICLE
Some properties of primitive matrices over Bezout B-domain
V. P. Shchedryk Department of Algebra
Pidsryhach Institute for Applied Problems
of Mechanics and Mathematics
National Academy of Sciences of Ukraine
3b Naukova Str.
Lviv, 79060, UKRAINE
Аннотация:
The properties of primitive matrices (matrices for which the greatest common divisor of the minors of maximal order is equal to 1) over Bezout B – domain, i.e. commutative domain finitely generated principal ideal in which for all $a,b,c$ with $(a,b,c)=1,c\neq 0,$ there exists element $r\in R$, such that $(a+rb, c)=1$ is investigated. The results obtained enable to describe invariants transforming matrices, i.e. matrices which reduce the given matrix to its canonical diagonal form.
Ключевые слова:
elementary divisor ring, Bezout $B$-domain, canonical diagonal form, transformable matrices, invariants, primitive matrices.
Поступила в редакцию: 11.05.2004 Исправленный вариант: 08.05.2005
Образец цитирования:
V. P. Shchedryk, “Some properties of primitive matrices over Bezout B-domain”, Algebra Discrete Math., 2005, no. 2, 46–57
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm302 https://www.mathnet.ru/rus/adm/y2005/i2/p46
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Страница аннотации: | 112 | PDF полного текста: | 63 | Первая страница: | 1 |
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