On the equivalence of polynomial matrices over a field

• Date: 2024
• Main Authors: Prokip , V., Прокіп, Володимир
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2024
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7926
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.64 The polynomial $(n\times n)$ matrices $A(\lambda )$ and $B(\lambda)$ over a field ${\mathbb F}$ are  called semiscalar equivalent if there exists a nonsingular $(n\times n)$ matrix $P$ over ${\mathbb F}$ and  an invertible $(n\times n)$  polynomial m...