2022/09/01 by Gao, Nan, Zhang, Chi-Heng, Ma, Jing
#16G10 #18G20 #FOS: Mathematics #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.2209.00537
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.