{
  "abstract": "To understand the origin of post-groups introduced by Bai, Guo, Sheng, and Tang from the perspective of rings, we introduce the notion of (weak) twisted post-groups. First, we show that every element of a twisted post-group belongs to a unique group, and that a twisted post-group can be viewed as the disjoint union of such groups. Next, we prove that the category of weak twisted post-groups is isomorphic to the category of skew trusses, and that every two-sided twisted post-group admits the structure of a two-sided skew brace. It follows that every abelian two-sided twisted post-group gives rise to a radical ring. We then introduce twisted post-Lie algebras and investigate their algebraic properties, showing that differentiating a twisted post-Lie group yields a twisted post-Lie algebra. Finally, we consider the linearization of (weak) twisted post-groups and propose the notion of (weak) twisted post-Hopf algebras. We show that every twisted post-Hopf algebra gives rise to another Hopf algebra, called the sub-adjacent Hopf algebra.",
  "abstract_shown": true,
  "affiliations": [
    "Anhui University of Science and Technology, P.R. China"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Shukun Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c0j3cy7pswvk7.bib",
  "cited_by": 1,
  "doi": "10.3842/sigma.2026.099",
  "fulltext_url": null,
  "id": "c0j3cy7pswvk7",
  "issns": [
    "1815-0659"
  ],
  "landing_url": "https://sigma-journal.com/2026/099/",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2602|Advanced Topics in Algebra"
    ]
  ],
  "openalex": "W4385096547",
  "pdf_url": "https://sigma-journal.com/2026/099/sigma26-099.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": "SIGMA (Symmetry, Integrability and Geometry: Methods and Application)",
  "ris": "https://research.draconitic.com/paper/c0j3cy7pswvk7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:27Z",
      "native_id": "10.3842/sigma.2026.099",
      "source": "crossref",
      "url": "https://sigma-journal.com/2026/099/"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2602|Advanced Topics in Algebra",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Twisted Post-Groups and Skew Trusses",
  "title_text": "Twisted Post-Groups and Skew Trusses",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:27Z",
  "url": "https://research.draconitic.com/paper/c0j3cy7pswvk7",
  "venue": "Symmetry, Integrability and Geometry: Methods and Applications",
  "versions": []
}