{
  "id": "1704.00398",
  "version": "v1",
  "published": "2017-04-03T01:23:50.000Z",
  "updated": "2017-04-03T01:23:50.000Z",
  "title": "Examples of finite dimensional algebras which do not satisfy the derived Jordan--Hölder property",
  "authors": [
    "Qunhua Liu",
    "Dong Yang"
  ],
  "comment": "19 pages",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "We construct a matrix algebra $\\Lambda(A,B)$ from two given finite dimensional elementary algebras $A$ and $B$ and give some sufficient conditions on $A$ and $B$ under which the derived Jordan--H\\\"older property (DJHP) fails for $\\Lambda(A,B)$. This provides finite dimensional algebras of finite global dimension which do not satisfy DJHP.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-03T01:23:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16E35",
      "18E30",
      "16G20"
    ],
    "keywords": [
      "finite dimensional algebras",
      "derived jordan-hölder property",
      "finite dimensional elementary algebras",
      "finite global dimension",
      "matrix algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}