{
  "id": "1909.01261",
  "version": "v2",
  "published": "2019-09-03T15:51:35.000Z",
  "updated": "2020-06-01T05:24:16.000Z",
  "title": "An inductive method for $\\mathrm{OI}$-modules",
  "authors": [
    "Wee Liang Gan",
    "Liping Li"
  ],
  "comment": "Minor revisions added",
  "categories": [
    "math.RT",
    "math.AC",
    "math.RA"
  ],
  "abstract": "In this paper we introduce an inductive method to study $\\mathrm{OI}$-modules presented in finite degrees, where $\\mathrm{OI}$ is a skeleton of the category of finitely totally ordered sets and strictly increasing maps. As an application, we obtain an explicit upper bound for the Castelnuovo-Mumford regularity of $\\mathrm{OI}$-modules.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2020-06-01T05:24:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "inductive method",
      "explicit upper bound",
      "finite degrees",
      "castelnuovo-mumford regularity",
      "finitely totally ordered sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}