Shahid Beheshti UniversityCategories and General Algebraic Structures with Applications2345-585316120220101Reflectional topology in MV-algebras24926710190710.52547/cgasa.2021.101907ENFereshteh ForouzeshFaculty of Mathematics and computing, Higher Education Complex of Bam, Kerman, Iran.Naser HosseiniDepartment of Pure Mathematics, Faculty of Math and Computers, Shahid Bahonar University of Kerman, Kerman, IranJournal Article20211223In 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.https://cgasa.sbu.ac.ir/article_101907_2ded973e84d70c127553282fbd184a99.pdf