{
  "id": "1510.03395",
  "version": "v1",
  "published": "2015-10-12T19:10:18.000Z",
  "updated": "2015-10-12T19:10:18.000Z",
  "title": "An introduction to loopoids",
  "authors": [
    "Janusz Grabowski"
  ],
  "comment": "9 pages, proceedings of LOOPS'15",
  "categories": [
    "math.GR"
  ],
  "abstract": "We discuss a concept of loopoid as a non-associative generalization of (Brandt) groupoid. We introduce and study also an interesting class of more general objects which we call semiloopoids. A differential version of loopoids is intended as a framework for Lagrangian discrete mechanics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-12T19:10:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20L05",
      "20N05",
      "22A22",
      "22E15",
      "22E60",
      "58H05"
    ],
    "keywords": [
      "introduction",
      "lagrangian discrete mechanics",
      "general objects",
      "differential version",
      "interesting class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151003395G"
    }
  }
}