DOI: 10.3390/axioms15110797 ISSN: 2075-1680

On X-Pure Derived and X-Pure Singularity Categories

Meiqi Yan, Hailou Yao
Show PDF Cite

In this paper, we generalize the notions of pure derived and pure singularity categories by introducing X-pure derived and X-pure singularity categories for a module class X satisfying suitable conditions. We prove that the main classical results for pure derived and pure singularity categories extend naturally to the X-pure framework.

More from our Archive