• Title of article

    On monadic MV-algebras

  • Author/Authors

    Di Nola، نويسنده , , Antonio and Grigolia، نويسنده , , Revaz، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2004
  • Pages
    15
  • From page
    125
  • To page
    139
  • Abstract
    We define and study monadic MV-algebras as pairs of MV-algebras one of which is a special case of relatively complete subalgebra named m-relatively complete. An m-relatively complete subalgebra determines a unique monadic operator. A necessary and sufficient condition is given for a subalgebra to be m-relatively complete. A description of the free cyclic monadic MV-algebra is also given.
  • Keywords
    MV-algebra , Free algebra , Monadic algebra , Relatively complete algebra
  • Journal title
    Annals of Pure and Applied Logic
  • Serial Year
    2004
  • Journal title
    Annals of Pure and Applied Logic
  • Record number

    1443567