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

• Datum: 1997
• Hauptverfasser: Petrichkovich, V. M., Петричкович, В. М.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1997
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5074
• Назва журналу: 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...