On the equivalence of matrices over commutative rings modulo ideals

• Published in: Algebra and Discrete Mathematics
• Date: 2014
• Main Authors: Bondarenko, V.M., Tylyshchak, A.A., Stoika, M.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152337
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the equivalence of matrices over commutative rings modulo ideals / V.M. Bondarenko,
 A.A. Tylyshchak, M.V. Stoika // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 1. — С. 12–19 . — Бібліогр.: 3 назв. — англ.

We study connections between wildness of the problem of classifying the matrices over an integral domain up to equivalence modulo an ideal and properties of the set of prime elements of the domain.