{
  "id": "1602.02234",
  "version": "v1",
  "published": "2016-02-06T10:06:57.000Z",
  "updated": "2016-02-06T10:06:57.000Z",
  "title": "Categorical resolutions of a class of derived categories",
  "authors": [
    "Pu Zhang"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1410.2414",
  "categories": [
    "math.RT"
  ],
  "abstract": "Using the relative derived categories, we prove that if an Artin algebra $A$ has a module $T$ with ${\\rm inj.dim}T<\\infty$ such that $^\\perp T$ is finite, then the bounded derived category $D^b({\\rm mod}A)$ admits a categorical resolution; and that for CM-finite Gorenstein algebra, such a categorical resolution is weakly crepant.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-06T10:06:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18E30",
      "14E15",
      "16G10",
      "16G50",
      "18G25"
    ],
    "keywords": [
      "categorical resolution",
      "cm-finite gorenstein algebra",
      "artin algebra",
      "relative derived categories",
      "bounded derived category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}