On the equivalence of matrices over commutative rings modulo ideals

• Date: 2018
• 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
• Journal Title: Algebra and Discrete Mathematics

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.