Title of article :
Relative Derived Categories
Author/Authors :
Liu ، Yanping College of Economics - Northwest Normal University
Abstract :
In this paper, the relative derived categories with respect to X-Gorenstein projective modules andY-Gorenstein injectivemodules are introduced to unify Gorestein derived categories and Ding derived categories in certain sense. A triangle-equivalence and description ofmorphisms in such relative derived categories are given.We also discuss a generalized Tate cohomology and obtain Avramov–Martsinkovsky exact sequences. Finally, some applications are obtained.
Keywords :
Relative derived categories , X , Gorenstein projective modules , Generalized Tate cohomology , Avramov–Martsinkovsky exact sequence ,
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
