%0 Journal Article
%T Reflectional topology in MV-algebras
%J Categories and General Algebraic Structures with Applications
%I Shahid Beheshti University
%Z 2345-5853
%A Forouzesh, Fereshteh
%A Hosseini, Naser
%D 2022
%\ 01/01/2022
%V 16
%N 1
%P 249-267
%! Reflectional topology in MV-algebras
%K Finitely meet-irreducible
%K involutive
%K (soaker
%K join-soaker) ideal
%K reflectional topology
%R 10.52547/cgasa.2021.101907
%X In this paper, we define soaker ideals in an MV-algebra, and study the relationships between soaker ideals and the other ideals in an involutive MV -algebras. Then we introduce a topology on the set of all the soaker ideals, which we call reflectional topology, and give a basis for it. By defining the notion of join-soaker ideals, we show that the reflectional topology is compact. We also give a characterization of connectedness of the reflectional topology. Finally, we investigate the properties of T0 and T1-space in this topology.
%U https://cgasa.sbu.ac.ir/article_101907_2ded973e84d70c127553282fbd184a99.pdf