On hereditary reducibility of 2-monomial matrices over commutative rings

dc.contributor.author	Bondarenko, V. M.
dc.contributor.author	Gildea, J.
dc.contributor.author	Tylyshchak, A. A.
dc.contributor.author	Yurchenko, N.V.
dc.date.accessioned	2019-12-05T08:49:42Z
dc.date.available	2019-12-05T08:49:42Z
dc.date.issued	2019
dc.identifier.uri	http://hdl.handle.net/123456789/4416
dc.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	uk_UA
dc.description.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.	uk_UA
dc.language.iso	en_US	uk_UA
dc.relation.ispartofseries	Математичні науки;
dc.subject	commutative ring	uk_UA
dc.subject	Jacobson radical	uk_UA
dc.subject	2-monomial matrix	uk_UA
dc.subject	hereditary reducible matrix	uk_UA
dc.subject	similarity	uk_UA
dc.subject	linear operator	uk_UA
dc.subject	free module	uk_UA
dc.title	On hereditary reducibility of 2-monomial matrices over commutative rings	uk_UA
dc.type	Article	uk_UA

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Algebra and Discrete Mathematics. - № 1 (27). - 2019
This is a special issue of our journal devoted to the 75th anniversary of the birth of Volodymyr Kyrychenko