{
  "id": "1605.09766",
  "version": "v1",
  "published": "2016-05-31T18:55:26.000Z",
  "updated": "2016-05-31T18:55:26.000Z",
  "title": "Igusa-Todorov functions for Artin algebras",
  "authors": [
    "Marcelo Lanzilotta",
    "Gustavo Mata"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper we study the behaviour of the Igusa-Todorov functions for Artin algebras A with finite injective dimension, and Gorenstein algebras as a particular case. We show that the $\\phi$-dimension and $\\psi$-dimension are finite in both cases. Also we prove that monomial, gentle and cluster tilted algebras have finite $\\phi$-dimension and finite $\\psi$-dimension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-31T18:55:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "artin algebras",
      "igusa-todorov functions",
      "gorenstein algebras",
      "finite injective dimension",
      "cluster tilted algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}