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Indecomposable and irreducible \(t\)-monomial matrices over commutative rings

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, 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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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.

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