Relative derived equivalences and relative Igusa-Todorov dimensions

Peizheng Guo, Shengyong Pan

Let $A$ be an Artin algebra and $F$ a non-zero subfunctor of $\Ext_A^{1}(-,-)$. In this paper, we characterize the relative $\varphi$-dimension of $A$ by the bi-functor $\Ext_F^1(-,-)$.…