Cohomology Theories in Triangulated Categories

被引：3
|
作者：
Ren, Wei [1 ,2 ]
Zhao, Ren Yu [2 ]
Liu, Zhong Kui [2 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[2] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2016年 / 32卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Triangulated categories; proper class of triangles; cohomology theories; GORENSTEIN HOMOLOGICAL DIMENSIONS; TATE COHOMOLOGY; MODULES;
D O I：
10.1007/s10114-016-5280-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let C be a triangulated category with a proper class E of triangles. We prove that there exists an Avramov-Martsinkovsky type exact sequence in C, which connects E-cohomology, E-Tate cohomology and E-Gorenstein cohomology.
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页码：1377 / 1390
页数：14
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