• Title of article

    On (po-)torsion free and principally weakly (po-)flat S-posets

  • Author/Authors

    Khosravi ، Roghaieh - Fasa University , Liang ، Xingliang - Shaanxi University of Science and Technology

  • Pages
    15
  • From page
    35
  • To page
    49
  • Abstract
    In this paper, we first consider (po-)torsion free and principally weakly (po-)flat S-posets, specifically we discuss when (po-)torsion freeness implies principal weak (po-)flatness. Furthermore, we give a counterexample to show that Theorem 3.22 of Shi is incorrect. Thereby we present a correct version of this theorem. Finally, we characterize pomonoids over which all cyclic S-posets are weakly po-flat.
  • Keywords
    Torsion free , po , torsion free , principally weakly flat , pomonoid , S , poset
  • Journal title
    Categories and General Algebraic Structures with Applications
  • Serial Year
    2018
  • Journal title
    Categories and General Algebraic Structures with Applications
  • Record number

    2456425