{
  "id": "1608.02418",
  "version": "v1",
  "published": "2016-08-08T12:59:36.000Z",
  "updated": "2016-08-08T12:59:36.000Z",
  "title": "τ-Rigid Modules from Tilted to Cluster-Tilted Algebras",
  "authors": [
    "Stephen Zito"
  ],
  "comment": "21 pages. arXiv admin note: substantial text overlap with arXiv:1608.01616. text overlap with arXiv:1410.1732, arXiv:1604.06907 by other authors",
  "categories": [
    "math.RT"
  ],
  "abstract": "We study the module categories of a tilted algebra C and the corresponding cluster-tilted algebra B. In particular, we study which \\tau-rigid C-modules are also \\tau-rigid B-modules. In the special case where the C-module M is an indecomposable \\tau-rigid module or a \\tau-tilting module, we prove a necessary and sufficient condition for M to be a \\tau-rigid B-module.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-08T12:59:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "16G70"
    ],
    "keywords": [
      "special case",
      "module categories",
      "sufficient condition",
      "corresponding cluster-tilted algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}