{
  "id": "1511.05976",
  "version": "v1",
  "published": "2015-11-18T21:04:12.000Z",
  "updated": "2015-11-18T21:04:12.000Z",
  "title": "Stratifying systems over the hereditary path algebra with quiver $\\mathbb{A}_{p,q}$",
  "authors": [
    "Paula Andrea Cadavid",
    "Eduardo do Nascimento Marcos"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1308.5547",
  "doi": "10.1007/s40863-015-0029-x",
  "categories": [
    "math.RT"
  ],
  "abstract": "The authors have proved in [J. Algebra Appl. 14 (2015), no. 6] that the size of a stratifying system over a finite-dimensional hereditary path algebra $A$ is at most $n$, where $n$ is the number of isomorphism classes of simple $A$-modules. Moreover, if $A$ is of Euclidean type a stratifying system over $A$ has at most $n-2$ regular modules. In this work, we construct a family of stratifying systems of size $n$ with a maximal number of regular elements, over the hereditary path algebra with quiver $\\widetilde{\\mathbb {A}}_{p,q} $, canonically oriented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-18T21:04:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G10",
      "16G70"
    ],
    "keywords": [
      "stratifying system",
      "finite-dimensional hereditary path algebra",
      "regular elements",
      "regular modules",
      "algebra appl"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151105976C"
    }
  }
}