%0 Journal Article
%T A note on the problem when FS-domains coincide with RB-domains
%J Categories and General Algebraic Structures with Applications
%I Shahid Beheshti University
%Z 2345-5853
%A Zou, Zhiwei
%A Li, Qingguo
%A Guo, Lankun
%D 2018
%\ 01/01/2018
%V 8
%N 1
%P 51-59
%! A note on the problem when FS-domains coincide with RB-domains
%K FS-domains
%K RB-domains
%K Super finitely separating functions
%K L-domains
%R 10.29252/cgasa.8.1.51
%X In this paper, we introduce the notion of super finitely separating functions which gives a characterization of RB-domains. Then we prove that FS-domains and RB-domains are equivalent in some special cases by the following three claims: a dcpo is an RB-domain if and only if there exists an approximate identity for it consisting of super finitely separating functions; a consistent join-semilattice is an FS-domain if and only if it is an RB-domain; an L-domain is an FS-domain if and only if it is an RB-domain. These results are expected to provide useful hints to the open problem of whether FS-domains are identical with RB-domains.
%U http://cgasa.sbu.ac.ir/article_47217_df93e16f640375823b7ff13404710dde.pdf