@article{Sun2025, 
author = {Juxiang Sun and Guoqiang Zhao},
title = {Homological conjectures and stable equivalences of Morita type},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {2},
pages = {2589-2601},
keywords = {Auslander–Reiten conjecture, Gorenstein projective conjecture, strong Nakayama conjecture, generalized Nakayama conjecture, stable equivalence of Morita type, Gorenstein projective module},
url = {https://www.sciopen.com/article/10.3934/math.2025120},
doi = {10.3934/math.2025120},
abstract = {Let    A and    B be two finite-dimensional algebras over an algebraically closed field. Suppose that    A and    B are stably equivalent of Morita type; we prove that    A satisfies the Auslander–Reiten conjecture (resp. Gorenstein projective conjecture, strong Nakayama conjecture, Auslander–Gorenstein conjecture, Nakayama conjecture, Gorenstein symmetric conjecture) if and only if    B does so. This can provide new classes of algebras satisfying homological conjectures, and we give an example to illustrate it.}
}