• Title of article

    On generalizations of semiperfect and perfect rings

  • Author/Authors

    -، - نويسنده Department of Mathematics, Sinop University, 57000, Sinop, Turkey. Mehmet Demirci, Y.

  • Issue Information
    دوماهنامه با شماره پیاپی 0 سال 2016
  • Pages
    10
  • From page
    1441
  • To page
    1450
  • Abstract
    -
  • Abstract
    ‎We call a ring $R$ right generalized semiperfect if every simple right $R$-module is an epimorphic image of a flat right $R$-module with small kernel‎, ‎that is‎, ‎every simple right $R$-module has a flat $B$-cover‎. ‎We give some properties of such rings along with examples‎. ‎We introduce flat strong covers as flat covers which are also flat $B$-covers and give characterizations of $A$-perfect‎, ‎$B$-perfect and perfect rings in terms of flat strong covers.
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Record number

    2396519

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2396519