@article{Sun2025, 
author = {Juxiang Sun and Guoqiang Zhao},
title = {Gorenstein invariants under right Quasi-Frobenius extensions},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {6},
pages = {3561-3570},
keywords = {right quasi-Frobenius extension, Gorenstein projective module, CM-finite algebra, CM-free algebra, Gorenstein algebra},
url = {https://www.sciopen.com/article/10.3934/era.2025158},
doi = {10.3934/era.2025158},
abstract = {The focus of this work was to establish relations between Gorenstein projective modules linked by right quasi-Frobenius extensions of rings. As applications, the right quasi-Frobenius extensions of (weakly) Gorenstein algebras, Cohen-Macaulay finite algebras and the Cohen-Macaulay free algebra were studied. Suppose that    Γ was a right quasi-Frobenius extension of an Artin algebra    Λ with    Γ a completely faithful left    Λ-module. We demonstrated that if    Γ exhibited (weakly) Gorenstein properties, then    Λ did so. Additionally, under the condition of    Γ being a separable extension of    Λ, the converse became valid.}
}