reflectional topology in mv-algebras

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.