{
  "abstract": "Idempotent (hereditary/cohereditary) (pre)radicals on the category of left modules over an associative ring with unity are described in terms of factorization systems. For radicals of the aforementioned kind, this is done in two different ways.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34969",
  "author_total": 1,
  "authors": [
    {
      "name": "Dali Zangurashvili"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/53v6xjt0ne9z4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34969",
  "fulltext_url": null,
  "id": "53v6xjt0ne9z4",
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  "landing_url": "https://arxiv.org/abs/2610.34969",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.RA"
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      "openalex",
      "2602|Rings, Modules, and Algebras"
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  "openalex": "W7223957115",
  "pdf_url": "https://arxiv.org/pdf/2610.34969",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/53v6xjt0ne9z4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.34969",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34969"
    }
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Idempotent radicals and factorization systems",
  "title_text": "Idempotent radicals and factorization systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/53v6xjt0ne9z4",
  "venue": "arXiv",
  "versions": []
}