On hereditary reducibility of 2-monomial matrices over commutative rings

• Published in: Algebra and Discrete Mathematics
• Date: 2019
• Main Authors: Bondarenko, V.M., Gildea, J., Tylyshchak, A.A., Yurchenko, N.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188417
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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, № 1. — С. 1–11. — Бібліогр.: 6 назв. — англ.

In this paper we introduce the notion of hereditary reducibility for some matrices and indicate one general condition of the introduced reducibility.