• Title of article

    On saturated prefilter monads

  • Author/Authors

    Zhang ، Gao School of Mathematical Science - Nanjing Normal University , He ، Wei Institute of Mathematics - Nanjing Normal University

  • From page
    19
  • To page
    41
  • Abstract
    In this paper we show that the prime saturated prefilter monads are sup-dense and interpolating in saturated prefilter monads. It follows that CNS spaces are the lax algebras for prime saturated prefilter monads. As for the algebraic part, we prove that the Eilenberg-Moore algebras for saturated prefilter monads are exactly continuous I-lattices.
  • Keywords
    Eilenberg , Moore algebra , prime saturated prefilter monad , saturated prefilter monad
  • Journal title
    Categories and General Algebraic Structures with Applications
  • Journal title
    Categories and General Algebraic Structures with Applications
  • Record number

    2737273