Indecomposable and irreducible t-monomial matrices over commutative rings

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.

Збережено в:
Бібліографічні деталі
Опубліковано в: :Algebra and Discrete Mathematics
Дата:2016
Автори: Bondarenko, V.M., Bortos, M., Dinis, R., Tylyshchak, A.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут прикладної математики і механіки НАН України 2016
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/155743
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Indecomposable and irreducible t-monomial matrices over commutative rings / V.M. Bondarenko, M. Bortos, R. Dinis, A. Tylyshchak // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 1. — С. 11-20. — Бібліогр.: 4 назв. — англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Bondarenko, V.M.
Bortos, M.
Dinis, R.
Tylyshchak, A.
author_facet Bondarenko, V.M.
Bortos, M.
Dinis, R.
Tylyshchak, A.
citation_txt Indecomposable and irreducible t-monomial matrices over commutative rings / V.M. Bondarenko, M. Bortos, R. Dinis, A. Tylyshchak // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 1. — С. 11-20. — Бібліогр.: 4 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
description 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.
first_indexed 2025-11-24T09:18:54Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-11-24T09:18:54Z
publishDate 2016
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Bondarenko, V.M.
Bortos, M.
Dinis, R.
Tylyshchak, A.
2019-06-17T11:38:27Z
2019-06-17T11:38:27Z
2016
Indecomposable and irreducible t-monomial matrices over commutative rings / V.M. Bondarenko, M. Bortos, R. Dinis, A. Tylyshchak // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 1. — С. 11-20. — Бібліогр.: 4 назв. — англ.
1726-3255
2010 MSC:15B33, 15A30.
https://nasplib.isofts.kiev.ua/handle/123456789/155743
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.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Indecomposable and irreducible t-monomial matrices over commutative rings
Article
published earlier
spellingShingle Indecomposable and irreducible t-monomial matrices over commutative rings
Bondarenko, V.M.
Bortos, M.
Dinis, R.
Tylyshchak, A.
title Indecomposable and irreducible t-monomial matrices over commutative rings
title_full Indecomposable and irreducible t-monomial matrices over commutative rings
title_fullStr Indecomposable and irreducible t-monomial matrices over commutative rings
title_full_unstemmed Indecomposable and irreducible t-monomial matrices over commutative rings
title_short Indecomposable and irreducible t-monomial matrices over commutative rings
title_sort indecomposable and irreducible t-monomial matrices over commutative rings
url https://nasplib.isofts.kiev.ua/handle/123456789/155743
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AT bortosm indecomposableandirreducibletmonomialmatricesovercommutativerings
AT dinisr indecomposableandirreducibletmonomialmatricesovercommutativerings
AT tylyshchaka indecomposableandirreducibletmonomialmatricesovercommutativerings