{
  "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.",
  "abstract_shown": true,
  "affiliations": [
    "College of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, China",
    "School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing 100124, China"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Meiqi Yan",
      "orcid": "0000-0001-8320-2748"
    },
    {
      "affs": [
        1
      ],
      "name": "Hailou Yao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1harvz0gxqdsp.bib",
  "cited_by": 0,
  "doi": "10.3390/axioms15110797",
  "fulltext_url": null,
  "id": "1harvz0gxqdsp",
  "issns": [
    "2075-1680"
  ],
  "landing_url": "https://www.mdpi.com/2075-1680/15/11/797",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7223908866",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/1harvz0gxqdsp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:30Z",
      "native_id": "10.3390/axioms15110797",
      "source": "crossref",
      "url": "https://www.mdpi.com/2075-1680/15/11/797"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Algebraic structures and combinatorial models",
      "subfield": "geometry-topology"
    }
  ],
  "title": "On X-Pure Derived and X-Pure Singularity Categories",
  "title_text": "On X-Pure Derived and X-Pure Singularity Categories",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:30Z",
  "url": "https://research.draconitic.com/paper/1harvz0gxqdsp",
  "venue": "Axioms",
  "versions": []
}