{
  "id": "1603.00601",
  "version": "v1",
  "published": "2016-03-02T07:48:05.000Z",
  "updated": "2016-03-02T07:48:05.000Z",
  "title": "Construction of schemoids from posets",
  "authors": [
    "Yasuhide Numata"
  ],
  "categories": [
    "math.CO",
    "math.CT"
  ],
  "abstract": "A schemoid is a generalization of association schemes from the point of view of small categories. In this article, we discuss schemoid structures for two kinds of small categories, the canonical small category defined by a poset, and another small category which arises a poset. We also discuss the schemoid algebra, that is an analogue of the Bose--Mesner algebra for an association scheme, for them.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-02T07:48:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "construction",
      "association scheme",
      "schemoid algebra",
      "schemoid structures",
      "bose-mesner algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}