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