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.

Gespeichert in:
Bibliographische Detailangaben
Datum:2016
Hauptverfasser: Bondarenko, V.M., Bortos, M., Dinis, R., Tylyshchak, A.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2016
Schriftenreihe:Algebra and Discrete Mathematics
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/155743
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Indecomposable and irreducible t-monomial matrices over commutative rings / V.M. Bondarenko, M. Bortos, R. Dinis, A. Tylyshchak // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 1. — С. 11-20. — Бібліогр.: 4 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine
Beschreibung
Zusammenfassung: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.