Categorical properties and homological conjectures for bounded extensions of algebras

Yongyun Qin, Xiaoxiao Xu, Jinbi Zhang +1

An extension $B\subset A$ of finite dimensional algebras is bounded if the $B$-$B$-bimodule $A/B$ is $B$-tensor nilpotent, its projective dimension is finite and $\mathrm{Tor}_i^B(…