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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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Bibliographic Details
Date:	2016
Main Authors:	Bondarenko, Vitaliy Mykhaylovych, Bortos, Maria, Dinis, Ruslana, Tylyshchak, Alexander
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2016
Subjects:	local ring similarity indecomposable matrix irreducible matrix canonically \(t\)-cyclic matrix defining sequence group representation 15B33 15A30
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/287
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Journal Title:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

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