Work

On X-Pure Derived and X-Pure Singularity Categories

Year: 2026

Type: article

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.

Source: Axioms

DOI: 10.3390/axioms15110797

Authors: Meiqi Yan, Hailou Yao

Institutions: Taiyuan Normal University, Beijing University of Technology

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: National Natural Science Foundation of China