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Algebra and Discrete Mathematics, 2014, Volume 17, Issue 1, Pages 12–19 (Mi adm456)  
RESEARCH ARTICLE

Equivalence of matrices over commutative rings

Vitaliy. M. Bondarenkoa, Alexander A. Tylyshchakb, Myroslav V. Stoikac

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
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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.
Received: 19.02.2014
Revised: 19.02.2014
Bibliographic databases:
Document Type: Article
MSC: 15A21, 15B33
Language: English
Citation: Vitaliy. M. Bondarenko, Alexander A. Tylyshchak, Myroslav V. Stoika, “Equivalence of matrices over commutative rings”, Algebra Discrete Math., 17:1 (2014), 12–19
Citation in format AMSBIB
\Bibitem{BonTylSto14}
\by Vitaliy.~M.~Bondarenko, Alexander~A.~Tylyshchak, Myroslav~V.~Stoika
\paper Equivalence of matrices over commutative rings
\jour Algebra Discrete Math.
\yr 2014
\vol 17
\issue 1
\pages 12--19
\mathnet{http://mi.mathnet.ru/adm456}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3288182}
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