2025/01/23 by Shengyong Pan, Pan, Shengyong
Engineering · Mathematics · #16D10 #16E35 #16G10 #18G80 #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Representation Theory (math.RT) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2501.13424
openalex publication_date 2025/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we show that stable functors of derived equivalences preserve the isomorphism classes of versal deformation rings of finitely generated Gorenstein-projective modules over finite dimensional k-algebras. Then we generalize Veléz-Marulanda's result \citeV in the case of singular equivalences of Morita type with levels for Gorenstein algebras. Moreover, we also prove that stable equivalences of Morita type preserve the isomorphism classes of versal deformation rings of finitely generated Gorenstein-projective modules over finite dimensional k-algebras.