Cohomology theories in triangulated categories

Authors
Ren, Wei Zhao, Ren Yu Liu, Zhong Kui
Citation
Ren, Wei et al., Cohomology theories in triangulated categories, Acta mathematica Sinica. English series (Print) , 32(11), 2016, pp. 1377-1390
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
32
Issue
11
Year of publication
2016
Pages
1377 - 1390
Database
ACNP
SICI code
Abstract
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.