{
  "id": "1605.09634",
  "version": "v1",
  "published": "2016-05-31T13:53:42.000Z",
  "updated": "2016-05-31T13:53:42.000Z",
  "title": "Upper bounds for the dominant dimension of Nakayama and related algebras",
  "authors": [
    "Rene Marczinzik"
  ],
  "comment": "24 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Optimal upper bounds are provided for the dominant dimensions of Nakayama algebras and more generally algebras $A$ with an idempotent $e$ such that there is a minimal faithful injective-projective module $eA$ and such that $eAe$ is a Nakayama algebra. This answers a question of Abrar and proves a conjecture of Yamagata in this case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-31T13:53:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G10",
      "16E10"
    ],
    "keywords": [
      "dominant dimension",
      "related algebras",
      "nakayama algebra",
      "optimal upper bounds",
      "minimal faithful injective-projective module"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}