{
  "abstract": "Let $H$ be a weak Hopf algebra with bijective antipode. This paper is devoted to the AS-Gorenstein property of restricted faithfully flat weak $H$-Galois extensions $A/B$. We first of all study the cohomologies of weak $H$-Galois extensions and then establish the spectral sequence connecting the Hochschild cohomologies of $A$ and of $B$. Finally we prove that when $A$ is a noetherian affine PI algebra and $B$ is AS-Gorenstein, $A$ shares the AS-Gorenstein property.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.22195",
  "author_total": 2,
  "authors": [
    {
      "name": "Daowei Lu"
    },
    {
      "name": "Dingguo Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/an4z9ra25hhkc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.22195",
  "fulltext_url": null,
  "id": "an4z9ra25hhkc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.22195",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.RA"
    ],
    [
      "openalex",
      "2602|Advanced Topics in Algebra"
    ]
  ],
  "openalex": "W7204168613",
  "pdf_url": "https://arxiv.org/pdf/2608.22195",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/an4z9ra25hhkc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "2608.22195",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.22195"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Hochschild cohomology and AS-Gorenstein property of weak Hopf Galois extensions",
  "title_text": "Hochschild cohomology and AS-Gorenstein property of weak Hopf Galois extensions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:20Z",
  "url": "https://research.draconitic.com/paper/an4z9ra25hhkc",
  "venue": "arXiv",
  "versions": []
}