{
  "abstract": "Let $k$ be a field and let $Λ=\\left(\\begin{smallmatrix}A&N\\\\M&B\\end{smallmatrix}\\right)_{ϕ,ψ}$ be a finite-dimensional Morita context algebra. We introduce a bilateral approximation construction which glues support $τ$-tilting modules over $A$ and $B$ by alternately correcting the two corner components through minimal approximations and pushouts. When this process terminates, it yields a support $τ$-tilting $Λ$-module with the prescribed componentwise torsion class. The one-sided case recovers Zhang's triangular-matrix construction, while the two-sided compatibility conditions give direct corner induction and, for radical-valued connecting maps, are also necessary, extending the Gao--Huang criterion. Examples show that the bilateral correction process can terminate even when neither one-sided compatibility condition is satisfied, while in other examples the process never terminates.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.18746",
  "author_total": 1,
  "authors": [
    {
      "name": "Yingying Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/67r3473g5w52r.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.18746",
  "fulltext_url": null,
  "id": "67r3473g5w52r",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.18746",
  "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.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7213520553",
  "pdf_url": "https://arxiv.org/pdf/2609.18746",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/67r3473g5w52r.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:04Z",
      "native_id": "2609.18746",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.18746"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Support $τ$-tilting modules over Morita context algebras: A bilateral approximation approach",
  "title_text": "Support τ-tilting modules over Morita context algebras: A bilateral approximation approach",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:04Z",
  "url": "https://research.draconitic.com/paper/67r3473g5w52r",
  "venue": "arXiv",
  "versions": []
}