{
  "abstract": "Let $ι: R\\to A$ be a Frobenius extension and let $T$ be a Wakamatsu tilting left $R$-module. We give sufficient conditions for the induced module $A\\otimes_R T$ to remain Wakamatsu tilting and establish an ascent--descent result for split centrally projective Frobenius extensions. We also characterize the tilting case by the vanishing of $\\mathrm{Ext}_R^i(T,A\\otimes_R T)$ for all $i>0$. Moreover, if $A\\otimes_R T\\in\\mathrm{add}_R(T)$, then the natural map $S=\\mathrm{End}_R(T)\\to B=\\mathrm{End}_A(A\\otimes_R T)$ of endomorphism rings is a Frobenius extension and $T\\otimes_S B\\cong A\\otimes_R T$ as $R$-$B$-bimodules. Applications to Brenner--Butler--Miyashita equivalences and some specific classes of Frobenius extensions are also discussed.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.30090",
  "author_total": 2,
  "authors": [
    {
      "name": "Wei Ren"
    },
    {
      "name": "Chunxia Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3jjsrd42sgbdf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.30090",
  "fulltext_url": null,
  "id": "3jjsrd42sgbdf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.30090",
  "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"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7204972460",
  "pdf_url": "https://arxiv.org/pdf/2608.30090",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3jjsrd42sgbdf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.30090",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.30090"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Transfer of Wakamatsu tilting modules along Frobenius extensions",
  "title_text": "Transfer of Wakamatsu tilting modules along Frobenius extensions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/3jjsrd42sgbdf",
  "venue": "arXiv",
  "versions": []
}