On irreducibility of monomial matrices of order 7 over local rings.
Ключові слова:
Local ring, Jacobson radical, irreducible matrix, monomial matrixАнотація
The problem of classifying, up to similarity, all the matrices over a commutative ring (which is not a field) is usually very difficult; in most cases it is “unsolvable” (wild, as in the case of the rings of residue classes considered by Bondarenko [1]). In such situation, an important place is occupied by irreducible and indecomposable matrices over rings.
Посилання
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V. M. Bondarenko, J. Gildea, A. A. Tylyshchak and N. V. Yurchenko, On hereditary reducibility of 2-monomial matrices over commutative rings, Algebra Discrete Math. 27 (2019), no. 1, 1–11.
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