{
  "abstract": "Let $R$ be a $\\ast$-ring with $a,b\\in R$. A ring $R$ is said to be $\\ast$-reversible if $ab=0$ implies $b^{\\ast}a=0$. In this paper, we first establish several new characterizations of $\\ast$-reversible rings and reversible rings. In particular, we prove that $\\ast$-reversible rings coincide with $\\ast$-symmetric rings. Using these characterizations, we introduce two new classes of generalized $\\ast$-reversible rings: pro-$\\ast$-reversible rings and nil-$\\ast$-reversible rings. A ring $R$ is called pro-$\\ast$-reversible if $ab\\in P(R)$ implies $b^{\\ast}a\\in P(R)$, and $R$ is nil-$\\ast$-reversible if for every $c\\in N(R)$, $cb=0$ yields both $b^{\\ast}c=0$ and $cb^{\\ast}=0$. The basic properties and characterizations of pro-$\\ast$-reversible and nil-$\\ast$-reversible rings are investigated. The interrelationships among all these ring classes are considered. The related examples to distinguish these rings are constructed.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.20076",
  "author_total": 3,
  "authors": [
    {
      "name": "Huaxi Chen"
    },
    {
      "name": "Long Wang"
    },
    {
      "name": "Honglin Zou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1v6j1r2enkhjf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.20076",
  "fulltext_url": null,
  "id": "1v6j1r2enkhjf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.20076",
  "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": "W7213602819",
  "pdf_url": "https://arxiv.org/pdf/2609.20076",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1v6j1r2enkhjf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:23Z",
      "native_id": "2609.20076",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.20076"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On $\\ast$-Reversible and Generalized $\\ast$-Reversible Rings",
  "title_text": "On ∗-Reversible and Generalized ∗-Reversible Rings",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:23Z",
  "url": "https://research.draconitic.com/paper/1v6j1r2enkhjf",
  "venue": "arXiv",
  "versions": []
}