Semi-central Bott–Duffin $(e,f)$-inverses

• Date: 2026
• Main Authors: Fang, Li, Zhao, Liang
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9380
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.552 We study Bott–Duffin $(e,f)$-inverses in the context of left and right semi-central idempotents. A new class of generalized inverses named semi-central Bott–Duffin $(e,f)$-inverses is introduced and studied.  An example is given to show that the Bott–Duffin $(e,f)$-inverses are not neces...