Yongyun Qin

collaborators

2 papers

math.RT2025

Gorenstein projective objects over cleft extensions

Yongyun Qin

In this paper we introduce compatible cleft extensions of abelian categories, and we prove that if $(B, A, e, i, l)$ is a compatible cleft extension, then both the…

math.RT2024

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(…