MAXIMAL HYPER MV-IDEALS IN HYPER MV-ALGEBRAS

In this paper, first we characterize hyper MV-algebras which 0 is scalar in them. Then, by defining atomic hyper MV -algebras, we determine hyper MV -ideals generated by a set in this algebras. Finally, we introduce the notion of maximal hyper MV -ideals in hyper MV -algebras and characterize maximal hyper MV -ideals in atomic hyper MV -algebras.