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.
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| Дата: | 2016 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2016
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/287 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-2872016-11-15T13:03:03Z Indecomposable and irreducible \(t\)-monomial matrices over commutative rings Bondarenko, Vitaliy Mykhaylovych Bortos, Maria Dinis, Ruslana Tylyshchak, Alexander local ring, similarity, indecomposable matrix, irreducible matrix, canonically \(t\)-cyclic matrix, defining sequence, group, representation 15B33, 15A30 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. Lugansk National Taras Shevchenko University 2016-11-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/287 Algebra and Discrete Mathematics; Vol 22, No 1 (2016) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/287/pdf Copyright (c) 2016 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
local ring similarity indecomposable matrix irreducible matrix canonically \(t\)-cyclic matrix defining sequence group representation 15B33 15A30 |
| spellingShingle |
local ring similarity indecomposable matrix irreducible matrix canonically \(t\)-cyclic matrix defining sequence group representation 15B33 15A30 Bondarenko, Vitaliy Mykhaylovych Bortos, Maria Dinis, Ruslana Tylyshchak, Alexander Indecomposable and irreducible \(t\)-monomial matrices over commutative rings |
| topic_facet |
local ring similarity indecomposable matrix irreducible matrix canonically \(t\)-cyclic matrix defining sequence group representation 15B33 15A30 |
| format |
Article |
| author |
Bondarenko, Vitaliy Mykhaylovych Bortos, Maria Dinis, Ruslana Tylyshchak, Alexander |
| author_facet |
Bondarenko, Vitaliy Mykhaylovych Bortos, Maria Dinis, Ruslana Tylyshchak, Alexander |
| author_sort |
Bondarenko, Vitaliy Mykhaylovych |
| title |
Indecomposable and irreducible \(t\)-monomial matrices over commutative rings |
| title_short |
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_sort |
indecomposable and irreducible \(t\)-monomial matrices over commutative rings |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2016 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/287 |
| work_keys_str_mv |
AT bondarenkovitaliymykhaylovych indecomposableandirreducibletmonomialmatricesovercommutativerings AT bortosmaria indecomposableandirreducibletmonomialmatricesovercommutativerings AT dinisruslana indecomposableandirreducibletmonomialmatricesovercommutativerings AT tylyshchakalexander indecomposableandirreducibletmonomialmatricesovercommutativerings |
| first_indexed |
2024-04-12T06:27:40Z |
| last_indexed |
2024-04-12T06:27:40Z |
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1796109249639612416 |