{
  "id": "1504.01043",
  "version": "v1",
  "published": "2015-04-04T19:54:13.000Z",
  "updated": "2015-04-04T19:54:13.000Z",
  "title": "Homotopy category of N-complexes of projective modules",
  "authors": [
    "Payam Bahiraei",
    "Rasool Hafezi",
    "Amin Nematbakhsh"
  ],
  "comment": "20",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we show that the homotopy category of N-complexes of pro- jective R-modules is triangle equivalent to the homotopy category of projective T_N(R)- module where T_N(R) is the ring of triangular matrix with entries in R. We also define the notions of N-singularity category and N-totally acyclic complexes. We show that the category of N-totally acyclic complexes of finitely generated projective R-modules em- beds in the N-singularity category, i.e. a result analogous to the case of ordinary chain complexes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-04T19:54:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18E30",
      "16G99",
      "18G05",
      "18G35"
    ],
    "keywords": [
      "homotopy category",
      "projective modules",
      "n-complexes",
      "n-totally acyclic complexes",
      "n-singularity category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150401043B"
    }
  }
}