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
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
