• Title of article

    Gorenstein hereditary rings with respect to a semidualizing module

  • Author/Authors

    Zhao ، G. - ‎Hangzhou Dianzi University‎ , Zhang ، B. - ‎Henan Polytechnic University‎

  • Pages
    7
  • From page
    1671
  • To page
    1677
  • Abstract
    ‎Let C be a semidualizing module‎. ‎We first investigate the properties of‎ ‎finitely generated GC-projective modules‎. ‎Then‎, ‎relative to C‎, ‎we introduce and study the rings over which‎ ‎every submodule of a projective (flat) module is GC-projective (flat)‎, ‎which we call C-Gorenstein (semi)hereditary rings‎. ‎It is proved that every C-Gorenstein hereditary ring is both coherent and C-Gorenstein semihereditary.
  • Keywords
    Semidualizing module‎ , ‎GC , projective module‎ , ‎GC , flat module‎ , ‎GC , (semi)hereditary ring‎ , ‎coherent ring‎
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Serial Year
    2017
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Record number

    2456205

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2456205