{
  "id": "1202.2479",
  "version": "v2",
  "published": "2012-02-11T23:33:21.000Z",
  "updated": "2012-04-03T05:52:19.000Z",
  "title": "A classification of algebras stratified for all preorders by Koszul theory",
  "authors": [
    "Liping Li"
  ],
  "comment": "This paper has been withdrawn by the author since it is replaced by another paper \"algebras stratified for all partial orders\"",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "Let $A = \\bigoplus_{i \\geqslant 0} A_i$ be a graded locally finite $k$-algebra such that $A_0$ is an arbitrary finite-dimensional algebra satisfying some splitting condition. In this paper we develop a generalized Koszul theory generalizing many classical results, and use it to classify algebras stratified for all preorders.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-04-03T05:52:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classification",
      "arbitrary finite-dimensional algebra satisfying",
      "splitting condition",
      "graded locally finite"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.2479L"
    }
  }
}