Geodesic
Indecomposable and irreducible $t$-monomial~matrices over commutative rings
Algebra and discrete mathematics, Tome 22 (2016) no. 1, pp. 11-20.

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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, irreducible matrix, canonically $t$-cyclic matrix, defining sequence, representation.
Mots-clés : indecomposable matrix, group 
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Vitaliy M. Bondarenko; Maria Yu. Bortos; Ruslana F. Dinis; Alexander A. Tylyshchak. Indecomposable  and irreducible $t$-monomial~matrices over commutative rings. Algebra and discrete mathematics, Tome 22 (2016) no. 1, pp. 11-20. http://geodesic.mathdoc.fr/item/ADM_2016_22_1_a1/

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