Cohomology Theories in Triangulated Categories  

作　　者：Wei REN Ren Yu ZHAO Zhong Kui LIU 

机构地区：[1]School of Mathematical Sciences, Fudan University, Shanghai 200433, P. R. China [2]Department of Mathematics, Northwest Normal University, Lanzhou 730070, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2016年第11期1377-1390,共14页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant Nos.11401476,11361052,11261050)

摘　　要：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 cohomology.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 cohomology.

关 键 词：Triangulated categories proper class of triangles cohomology theories 

分 类 号：O18[理学—数学]