• Title of article

    Every class of S-acts having a flatness property is closed under directed colimits

  • Author/Authors

    Qiao ، Husheng - Northwest Normal University , Wang ، Liming - Northwest Normal University , Ma ، Xin - Northwest Normal University

  • Pages
    11
  • From page
    341
  • To page
    351
  • Abstract
    Let S be a monoid. In this paper, we prove every class of S-acts having a flatness property is closed underdirected colimits, it extends some known results. Furthermore this result implies that every S-act has a flatness cover if and only if it has a flatness precover.
  • Keywords
    Flatness property , colimit , closed
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Serial Year
    2016
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Record number

    2456074