From Gorenstein derived equivalences to stable functors of Gorenstein projective modules
Representation Theory
2022-09-02 v1
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.
Keywords
Cite
@article{arxiv.2209.00537,
title = {From Gorenstein derived equivalences to stable functors of Gorenstein projective modules},
author = {Nan Gao and Chi-Heng Zhang and Jing Ma},
journal= {arXiv preprint arXiv:2209.00537},
year = {2022}
}
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8 pages