On the equivalence of matrices over commutative rings modulo ideals

Vitaliy M. Bondarenko, Alexander A. Tylyshchak, Myroslav V. Stoika

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

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