On JU-algebras and p-Closure Ideals.

In this paper, we define JU-algebras and discuss the concept of p- closure ideals of JU-algebras which we denote as Jpc for a non-empty subset J of a JU-algebra X. Moreover, we investigate related proper- ties of JU-algebras and p-closures of subsets of JU-algebras. Through p-closure of subsets of X we also define a closure operator. We estab- lish a relation between f(Jpc) and (f(J))pc for a JU-homomorphism f and prove that Jpc is the least closed p-ideal containing J for any ideal J of X. [ABSTRACT FROM AUTHOR]