Abstract
In this paper, we first establish relationships between Gorenstein projective modules linked by the separable equivalence of rings, and prove that Gorenstein, CM-finite and CM-free algebras are invariant under separable equivalences. Secondly, we provide a new method to produce separable equivalences. As applications, the following results are obtained. Let Λ and Γ be Artin algebras such that Λ is separably equivalent to Γ. (1) For representation-finte algebras Λ and Γ, their Auslander algebras are separably equivalent; (2) For CM-finite algebras Λ and Γ, the endomorphism algebras of their representative generators are separably equivalent. Finally, we discuss when tilted algebras are invariant under separable equivalences, and give an example to illustrate it.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
