2022•arXiv (Cornell University)Open access
From Gorenstein derived equivalences to stable functors of Gorenstein projective modules
Nan Gao, Chi-Heng Zhang, Jing Ma
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Abstract
In the paper, we mainly connect the Gorenstein derived equivalence and stable functors of Gorenstein projective modules. Specially, we prove that a Gorenstein derived equivalence between CM-finite algebras A and B can induce a stable functor between the factor categories A-mod/A-Gproj and B-mod\B-Gproj. Furthermore, the above stable functor is an equivalence when A and B are Gorenstein.
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