Loading [MathJax]/jax/output/CommonHTML/jax.js
Algebra and Discrete Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra Discrete Math.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (316 kB) Citations (2)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/adm572
  • https://www.mathnet.ru/eng/adm/v22/i1/p11
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
    Statistics & downloads:
    Abstract page:370
    Full-text PDF :95
    References:51
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025