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Algebra and Discrete Mathematics, 2016, том 22, выпуск 1, страницы 11–20
(Mi adm572)
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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
RESEARCH ARTICLE
Indecomposable and irreducible $t$-monomial matrices over commutative rings
Vitaliy M. Bondarenkoa, Maria Yu. Bortosa, Ruslana F. Dinisb, Alexander A. Tylyshchakc a Institute of Mathematics, Tereshchenkivska str., 3, 01601 Kyiv, Ukraine
b Faculty of Mechanics and Mathematics, Kyiv National Taras Shevchenko Univ., Volodymyrska str., 64, 01033 Kyiv, Ukraine
c Faculty of Mathematics, Uzhgorod National Univ., Universytetsyka str., 14, 88000 Uzhgorod, Ukraine
Аннотация:
We introduce the notion of the defining sequence of a permutation indecomposable monomial matrix over a commutative ring and obtain necessary conditions for such matrices to be indecomposable or irreducible in terms of this sequence.
Ключевые слова:
local ring, similarity, indecomposable matrix, irreducible matrix, canonically $t$-cyclic matrix, defining sequence, group, representation.
Поступила в редакцию: 29.08.2016
Образец цитирования:
Vitaliy M. Bondarenko, Maria Yu. Bortos, Ruslana F. Dinis, Alexander A. Tylyshchak, “Indecomposable and irreducible $t$-monomial matrices over commutative rings”, Algebra Discrete Math., 22:1 (2016), 11–20
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm572 https://www.mathnet.ru/rus/adm/v22/i1/p11
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