Equivalence of matrices in the ring $M(n, R)$ and its subrings

• Date: 2021
• Main Authors: Dzhaliuk , N. S., Petrychkovych , V. M., Джалюк, Н. С., Петричкович, В. М.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6858
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.64+512.55 In this article, we consider the equivalence of matrices in the ring $M(n, R)$ and in its subrings of block triangular matrices $M_{BT} (n_1, . . . , n_k, R)$ and block diagonal matrices $M_{BD} (n_1, . . . , n_k, R)$ where $R$ is a commutative principal ideal domain,...