%0 Journal Article
%T On saturated prefilter monads
%J Categories and General Algebraic Structures with Applications
%I Shahid Beheshti University
%Z 2345-5853
%A Zhang, Gao
%A He, Wei
%D 2023
%\ 02/01/2023
%V 18
%N 1
%P 19-41
%! On saturated prefilter monads
%K Eilenberg-Moore algebra
%K prime saturated prefilter monad
%K saturated prefilter monad
%R 10.52547/cgasa.2022.102934
%X 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.
%U https://cgasa.sbu.ac.ir/article_102934_2e33aea58b98b9d914eb6ead986f84a8.pdf