{
  "abstract": "Let $R$ be a commutative semiring with unity $(1\\neq0)$, and let $S$ be a proper multiplicatively closed subset of $R$. In this paper, we introduce the notion of quasi $S$-$n$-ideals in commutative semirings. We the study basic property of quasi $S$-$n$-ideals and establish their relationships with quasi $n$-ideals, $S$-$n$-ideals, $S$-prime ideals, and $S$-primary ideals. We also investigate their behavior under localization. Finally, we determine quasi $S$-$n$-ideals in the quotient polynomial semiring $R[x]/\\langle x^m\\rangle$ and study their natural extensions via the constructions of idealization and amalgamation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.03743",
  "author_total": 4,
  "authors": [
    {
      "name": "Amaresh Mahato"
    },
    {
      "name": "Saikat Das"
    },
    {
      "name": "Manasi Mandal"
    },
    {
      "name": "Sampad Das"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fkvnng6j1b960.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.03743",
  "fulltext_url": null,
  "id": "fkvnng6j1b960",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.03743",
  "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.AC"
    ],
    [
      "openalex",
      "2602|Rings, Modules, and Algebras"
    ]
  ],
  "openalex": "W7208786849",
  "pdf_url": "https://arxiv.org/pdf/2609.03743",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fkvnng6j1b960.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:36Z",
      "native_id": "2609.03743",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.03743"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AC",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Quasi S-n-ideals in commutative semirings",
  "title_text": "Quasi S-n-ideals in commutative semirings",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:36Z",
  "url": "https://research.draconitic.com/paper/fkvnng6j1b960",
  "venue": "arXiv",
  "versions": []
}