Derived Delooping Levels of One-Point Extensions and Finitistic Dimensions

Hanpeng Gao, Dajun Liu, Ruomu Xu

Let $B$ be a finite-dimensional algebra, $M\in\modu B$, and $A=B[M]$ the one-point extension. We give a stable two-step extension criterion for the new simple $A$-module to have de…