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Algebra and Discrete Mathematics, 2016, Volume 22, Issue 1, Pages 11–20 (Mi adm572)  
This article is cited in 2 scientific papers (total in 2 papers)

RESEARCH ARTICLE

Indecomposable and irreducible $t$-monomial matrices over commutative rings

Vitaliy M. Bondarenkoa, Maria Yu. Bortosa, Ruslana F. Dinisb, Alexander A. Tylyshchakc

a Institute of Mathematics, Tereshchenkivska str., 3, 01601 Kyiv, Ukraine
b Faculty of Mechanics and Mathematics, Kyiv National Taras Shevchenko Univ., Volodymyrska str., 64, 01033 Kyiv, Ukraine
c Faculty of Mathematics, Uzhgorod National Univ., Universytetsyka str., 14, 88000 Uzhgorod, Ukraine
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Abstract: 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.
Keywords: local ring, similarity, indecomposable matrix, irreducible matrix, canonically $t$-cyclic matrix, defining sequence, group, representation.
Received: 29.08.2016
Bibliographic databases:
Document Type: Article
MSC: 15B33, 15A30
Language: English
Citation: Vitaliy M. Bondarenko, Maria Yu. Bortos, Ruslana F. Dinis, Alexander A. Tylyshchak, “Indecomposable and irreducible $t$-monomial matrices over commutative rings”, Algebra Discrete Math., 22:1 (2016), 11–20
Citation in format AMSBIB
\Bibitem{BonBorDin16}
\by Vitaliy~M.~Bondarenko, Maria~Yu.~Bortos, Ruslana~F.~Dinis, Alexander~A.~Tylyshchak
\paper Indecomposable and irreducible $t$-monomial~matrices over commutative rings
\jour Algebra Discrete Math.
\yr 2016
\vol 22
\issue 1
\pages 11--20
\mathnet{http://mi.mathnet.ru/adm572}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3573542}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000392708800002}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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