{
  "id": "0809.1773",
  "version": "v2",
  "published": "2008-09-10T12:16:06.000Z",
  "updated": "2008-12-09T12:14:35.000Z",
  "title": "Compatible associative products and trees",
  "authors": [
    "Vladimir Dotsenko"
  ],
  "comment": "19 pages, added a note on relation to other operads",
  "journal": "Algebra & Number Theory, Vol. 3 (2009), No. 5, 567-586",
  "categories": [
    "math.RA",
    "math.CO"
  ],
  "abstract": "We compute dimensions of graded components for free algebras with two compatible associative products, and give a combinatorial interpretation of these algebras in terms of planar rooted trees.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-12-09T12:14:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "08B20",
      "18D50",
      "05C05"
    ],
    "keywords": [
      "compatible associative products",
      "free algebras",
      "combinatorial interpretation",
      "planar rooted trees"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.1773D"
    }
  }
}