The relation between Gorenstein derived and pure derived categories. (English) Zbl 1507.18018
The authors study the relation between Gorenstein derived and pure derived categories under some conditions, and also study the relation between Gorenstein singularity and pure singularity categories. Moreover, they describe the bounded Gorenstein derived category by pure projective modules, under a fairly strong assumption on the ring.
Reviewer: Panyue Zhou (Yueyang)
MSC:
| 18G80 | Derived categories, triangulated categories |
| 18G25 | Relative homological algebra, projective classes (category-theoretic aspects) |
| 16E60 | Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. |
Keywords:
Gorenstein derived category; pure derived category; Gorenstein singularity category; pure singularity category; recollement; hereditaryReferences:
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