On hereditary reducibility of 2-monomial matrices over commutative rings

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/4416

Title:	On hereditary reducibility of 2-monomial matrices over commutative rings
Authors:	Bondarenko, V. M. Gildea, J. Tylyshchak, A. A. Yurchenko, N.V.
Keywords:	commutative ring Jacobson radical 2-monomial matrix hereditary reducible matrix similarity linear operator free module
Issue Date:	2019
Series/Report no.:	Математичні науки;
Abstract:	A 2-monomial matrix over a commutative ring R is by definition any matrix of the form M(t, k, n) = Φ Ik 0 0 tIn−k , 0 < k < n, where t is a non-invertible element of R, Φ the companion matrix to λ n − 1 and Ik the identity k × k-matrix. In this paper we introduce the notion of hereditary reducibility (for these matrices) and indicate one general condition of the introduced reducibility.
Description:	Bondarenko V. M. On hereditary reducibility of 2-monomial matrices over commutative rings / V. M. Bondarenko, J. Gildea, A. A. Tylyshchak, N.V.Yurchenko // Algebra and Discrete Mathematics. - 2019. - Vol. 27. - Number 1. - Рp.1 -11
URI:	http://hdl.handle.net/123456789/4416
Appears in Collections:	Algebra and Discrete Mathematics. - № 1 (27). - 2019

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