{
  "abstract": "A right module is isoartinian (resp., isonoetherian) if every descending (resp., ascending) chain of submodules is eventually constant up to isomorphism, and a ring R is right isoartinian (resp., isonoethe- rian) if RR is isoartinian (resp., isonoetherian). Facchini and Nazemian proved that a semiprime right isoartinian ring is right noetherian if and only if it is right isonoetherian if and only if it has finite Goldie dimen- sion and that every commutative semiprime isoartinian ring is noether- ian. We construct, over an arbitrary field K, a (non commutative) prime (right and left) isoartinian ring that is neither right nor left noetherian.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.23129",
  "author_total": 2,
  "authors": [
    {
      "name": "Zahra Nazemian"
    },
    {
      "name": "Doniyor Yazdonov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/aj7gng4dc0gsj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23129",
  "fulltext_url": null,
  "id": "aj7gng4dc0gsj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.23129",
  "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": "W7222943554",
  "pdf_url": "https://arxiv.org/pdf/2610.23129",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/aj7gng4dc0gsj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2610.23129",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23129"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A prime isoartinian ring that is not noetherian",
  "title_text": "A prime isoartinian ring that is not noetherian",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/aj7gng4dc0gsj",
  "venue": "arXiv",
  "versions": []
}