{
  "abstract": "Motivated by the recent study of strongly $Δ$-clean rings, we introduce and study strongly $m$-$Δ$-clean rings. We establish their fundamental properties and characterize strongly $m$-$Δ$-clean rings via lifting $m$-potent elements modulo $Δ(R)$. We prove that every $m$-$Δ$-clean ring is clean and that the factor ring of a strongly $m$-$Δ$-clean ring modulo its Jacobson radical is reduced. Finally, we investigate corner rings, Morita context rings, and the relationships of these rings with $Δ$-clean, local, semipotent, and strongly $m$-nil clean rings.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.01678",
  "author_total": 2,
  "authors": [
    {
      "name": "Saikat Das"
    },
    {
      "name": "Sukhendu Kar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/26sra3tw4dbzh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.01678",
  "fulltext_url": null,
  "id": "26sra3tw4dbzh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.01678",
  "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.RA"
    ],
    [
      "openalex",
      "2602|Rings, Modules, and Algebras"
    ]
  ],
  "openalex": "W7207655220",
  "pdf_url": "https://arxiv.org/pdf/2609.01678",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/26sra3tw4dbzh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:07Z",
      "native_id": "2609.01678",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.01678"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On strongly $m$-$Δ$-clean ring",
  "title_text": "On strongly m-Δ-clean ring",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:07Z",
  "url": "https://research.draconitic.com/paper/26sra3tw4dbzh",
  "venue": "arXiv",
  "versions": []
}