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Peer-reviewedCC BY 4.0Axioms

On X-Pure Derived and X-Pure Singularity Categories

  • Meiqi Yan1
  • Hailou Yao2
  1. 1College of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, China
  2. 2School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing 100124, China
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Abstract

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.

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Cite

BibTeXRIS
BibTeX
@article{yan2026xpure,
  title = {{On X-Pure Derived and X-Pure Singularity Categories}},
  author = {Meiqi Yan and Hailou Yao},
  journal = {Axioms},
  year = {2026},
  month = oct,
  doi = {10.3390/axioms15110797},
  url = {https://www.mdpi.com/2075-1680/15/11/797},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - On X-Pure Derived and X-Pure Singularity Categories
AU  - Meiqi Yan
AU  - Hailou Yao
PY  - 2026
DA  - 2026/10/25
JO  - Axioms
DO  - 10.3390/axioms15110797
UR  - https://www.mdpi.com/2075-1680/15/11/797
AB  - 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.
SN  - 2075-1680
ER  -