%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