Title of article :
The Relation Between Gorenstein Derived and Pure Derived Categories
Author/Authors :
Yan ، Meiqi College of Mathematics - Faculty of Science - Beijing University of Technology , Yao ، Hailou College of Mathematics - Faculty of Science - Beijing University of Technology
Abstract :
In this paper we study the relation between Gorenstein derived and pure derived categories under some conditions. Then, we also study the relation between Gorenstein singularity and pure singularity categories. Furthermore, we describe the bounded Gorenstein derived category by pure rojectivemodules, under a fairly strong assumption on the ring. In the last part of the paper, we study the pure derived category over a hereditary ring.
Keywords :
Gorenstein derived category , Pure derived category , Gorenstein singularity category , Pure singularity category , Recollement , Hereditary
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
