{
  "id": "math/0110331",
  "version": "v1",
  "published": "2001-10-31T17:01:36.000Z",
  "updated": "2001-10-31T17:01:36.000Z",
  "title": "Computing Small 1-Homological Models for Commutative Differential Graded Algebras",
  "authors": [
    "Victor Alvarez",
    "Jose Andres Armario",
    "Maria Dolores Frau",
    "Rocio Gonzalez-Diaz",
    "Maria Jose Jimenez",
    "Pedro Real",
    "Beatriz Silva"
  ],
  "comment": "17 pages",
  "journal": "Proceedings of the 3rd Workshop on Computer Algebra in Scientific Computing CASC'00 (2000) 87-100",
  "categories": [
    "math.AT",
    "math.AC",
    "math.RA"
  ],
  "abstract": "We use homological perturbation machinery specific for the algebra category [P. Real. Homological Perturbation Theory and Associativity. Homology, Homotopy and Applications vol. 2, n. 5 (2000) 51-88] to give an algorithm for computing the differential structure of a small 1--homological model for commutative differential graded algebras (briefly, CDGAs). The complexity of the procedure is studied and a computer package in Mathematica is described for determining such models.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-10-31T17:01:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13D03",
      "16E40"
    ],
    "keywords": [
      "commutative differential graded algebras",
      "computing small",
      "homological perturbation machinery specific",
      "algebra category",
      "homological perturbation theory"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....10331A"
    }
  }
}