Vitaliy. M. Bondarenko, Alexander A. Tylyshchak, Myroslav V. Stoika, “Equivalence of matrices over commutative rings”, Algebra Discrete Math., 2014, Volume 17, Issue 1,Pages <nobr>12

RESEARCH ARTICLE

Equivalence of matrices over commutative rings

Vitaliy. M. Bondarenko^a, Alexander A. Tylyshchak^b, Myroslav V. Stoika^c

^a Institute of Mathematics, Tereshchenkivska 3, 01601 Kyiv, Ukraine
^b Mathematical Faculty, Uzhgorod National Univ., Universytetsyka str., 14, 88000 Uzhgorod, Ukraine
^c Humanities and Natural Sciences Faculty, Uzhgorod National Univ., Universytetsyka str., 14, 88000 Uzhgorod, Ukraine

Abstract: 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.

Keywords: commutative ring, prime element, equivalent matrices modulo an ideal, perfect $(I,J)$-matrix, wildness.

MSC: 15A21, 15B33

Received: 19.02.2014
Revised: 19.02.2014

Language: English