A criterion of diagonalizability of a pair of matrices over the ring of principal ideals by common row and separate column transformations

• Date: 1997
• Main Authors: Petrichkovich, V. M., Петричкович, В. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5074
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish that a pair A, B, of nonsingular matrices over a commutative domain R of principal ideals can be reduced to their canonical diagonal forms D A and D B by the common transformation of rows and separate transformations of columns. This means that there exist invertible matrices U, V A, an...