• Title of article

    The pasting constructions of lattice ordered effect algebras

  • Author/Authors

    Yongjian Xie، نويسنده , , Yongming Li، نويسنده , , Aili Yang، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2010
  • Pages
    11
  • From page
    2476
  • To page
    2486
  • Abstract
    The aim of this paper is to present some ways of constructing a lattice ordered effect algebra from the given family of MV-algebras. The loop lemma of lattice ordered effect algebras is proved. Then the definitions of Greechie diagrams of effect algebras are given. All these results have generalized those of orthomodular lattices. As applications of loop lemma and Greechie diagrams, some lattice ordered effect algebras without states are presented.
  • Keywords
    Lattice ordered effect algebras , BLOCK , MV-algebras , Loop lemma , Greechie diagrams
  • Journal title
    Information Sciences
  • Serial Year
    2010
  • Journal title
    Information Sciences
  • Record number

    1213990