Vitaliy. M. Bondarenko, Alexander A. Tylyshchak, Myroslav V. Stoika, “Equivalence of matrices over commutative rings”, Algebra Discrete Math., 2014, том 17, выпуск 1,страницы 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

Аннотация: 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.

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

MSC: 15A21, 15B33

Поступила в редакцию: 19.02.2014
Исправленный вариант: 19.02.2014

Язык публикации: английский