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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
Main Authors: Bondarenko, V.M., Bortos, M., Dinis, R., Tylyshchak, A.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2016
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/155743
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Description
Summary: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.