{
  "abstract": "Accessibility results are established for (Cartan-Eilenberg) strongly FP-injective complexes, by first proving the accessibility of Strongly FP-injective modules and then utilizing the pseudopullback theorem. We also prove that every acyclic complex of weakly FP-projective modules has weakly FP-projective cycles over left $<\\aleph_m$-coherent rings for a non-negative integer $m$. This is achieved by introducing the cotorsion pairs $\\bigl(\\mathcal{C}\\aleph_mP\\text{-}proj,\\mathcal{C}\\aleph_mP\\text{-}inj\\bigr)$, cogenerated by all $\\aleph_m$-presentable weakly FP-projective modules, and proving that acyclic complexes of modules from the class $\\mathcal{C}\\aleph_mP\\text{-}proj$ have weakly FP-projective cycles for every non-negative integer $m$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38859",
  "author_total": 2,
  "authors": [
    {
      "name": "Ilias Kaperonis"
    },
    {
      "name": "Konstantinos Golfis"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/69gttkpjfgew4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38859",
  "fulltext_url": null,
  "id": "69gttkpjfgew4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38859",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CT"
    ],
    [
      "arxiv",
      "math.RA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38859",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/69gttkpjfgew4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.38859",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38859"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On strongly FP-injective accessibility and weakly FP-projective periodicity",
  "title_text": "On strongly FP-injective accessibility and weakly FP-projective periodicity",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/69gttkpjfgew4",
  "venue": "arXiv",
  "versions": []
}