Abstract
In this paper, we define JU-algebras and discuss the concept of p-closure ideals of JU-algebras which we denote as J(pc) for a non-empty subset J of a JU-algebra X. Moreover, we investigate related properties 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 establish a relation between f(J(pc)) and (f(J))(pc) for a JU-homomorphism f and prove that J(pc) is the least closed p-ideal containing J for any ideal J of X.