{
  "id": "math/9811095",
  "version": "v3",
  "published": "1998-11-16T15:37:14.000Z",
  "updated": "2000-06-02T08:53:35.000Z",
  "title": "On some partial orders associated to generic initial ideals",
  "authors": [
    "Jan Snellman"
  ],
  "comment": "22 pages, 8 figures, LaTeX2e",
  "journal": "S{\\'e}minaire Lotharingien de Combinatoire, B43h (2000), 23 pp",
  "categories": [
    "math.CO",
    "math.AC",
    "math.RA"
  ],
  "abstract": "We study two partial orders on $[x_1,...,x_n]$, the free abelian monoid on ${x_1,...,x_n}$. These partial orders, which we call the ``strongly stable'' and the ``stable'' partial order, are defined by the property that their filters are precisely the strongly stable and the stable monoid ideals. These ideals arise in the study of generic initial ideals.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2000-06-02T08:53:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06A07",
      "05A17",
      "13F20"
    ],
    "keywords": [
      "generic initial ideals",
      "partial orders",
      "free abelian monoid",
      "ideals arise",
      "stable monoid ideals"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math.....11095S"
    }
  }
}