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On the equivalence of matrices over commutative rings modulo ideals

On the equivalence of matrices over commutative rings modulo ideals

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.

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Bibliographic Details
Main Authors: Bondarenko, Vitaliy M., Tylyshchak, Alexander A., Stoika, Myroslav V.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
commutative ring
prime element
equivalent matrices modulo an ideal
perfect \((I,J)\)-matrix
wildness
15A21
15B33
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1021
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https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1021

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