Supported by National Natural Science Foundation of China(Grant Nos.11601433 and 11261050);the Postdoctoral Science Foundation of China(Grant No.2106M602945XB);Northwest Normal University(Grant No.NWNU-LKQN-15-12)
Let R be a right coherent ring and D^b(R-Mod) the bounded derived category of left R-modules. Denote by D^b(R-Mod)[GF,C] the subcategory of D^b(R-Mod) consisting of all complexes with both finite Gorenstein flat...
Supported by National Natural Science Foundation of China(Grant Nos.11401476,11361052,11261050)
Let C be a triangulated category with a proper class g of triangles. We prove that there exists an Avramov-Martsinkovsky type exact sequence in g, which connects ε-cohomology, ε-Tate cohomology and ε-Corenstein coh...