2020/01/16 by Γεώργιος Δαλέζιος, Dalezios, Georgios
Mathematics · #16D90 #16E35 (Primary) 16E65 #16G50 (Secondary) #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2001.05749
openalex publication_date 2020/01/16 · openalex created_date 2022/07/26 · openalex updated_date 2026/08/01
Rickard proved that for certain self-injective algebras, a stable equivalence\ninduced from an exact functor is a stable equivalence of Morita type, in the\nsense of Brou 'e. In this paper we study singular equivalences of finite\ndimensional algebras induced from tensor product functors. We prove that for\ncertain Gorenstein algebras, a singular equivalence induced from tensoring with\na suitable complex of bimodules, induces a singular equivalence of Morita type\nwith level, in the sense of Wang. This recovers Rickard's theorem in the\nself-injective case.\n