{
  "abstract": "We introduce a strict monoidal groupoid associated with a given commutative ring $K$. It acts on the Clifford extension systems of $K$-central algebras which are graded by a group $G$, as well as on the generalized collective characters, both of type $ϕ\\in$ Hom$(G,$ Aut$(K))$. These actions partition the two sets above with respect to graded Morita equivalence. By that we establish a seven term exact sequence of type $ϕ$, which boils down to the celebrated Chase-Harrison-Rosenberg sequence when $ϕ$ is Galois.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18101",
  "author_total": 2,
  "authors": [
    {
      "name": "Ammu Elizabeth Antony"
    },
    {
      "name": "Yuval Ginosar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fg0jkh7v0158k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18101",
  "fulltext_url": null,
  "id": "fg0jkh7v0158k",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18101",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.RA"
    ],
    [
      "openalex",
      "2602|Rings, Modules, and Algebras"
    ]
  ],
  "openalex": "W7221769473",
  "pdf_url": "https://arxiv.org/pdf/2610.18101",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fg0jkh7v0158k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:19Z",
      "native_id": "2610.18101",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18101"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Actions of central Morita monoidal groupoids, and seven term exact sequences of all types",
  "title_text": "Actions of central Morita monoidal groupoids, and seven term exact sequences of all types",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:19Z",
  "url": "https://research.draconitic.com/paper/fg0jkh7v0158k",
  "venue": "arXiv",
  "versions": []
}