P-CLOSURE IN PSEUDO BCI-ALGEBRAS

In this paper, for any non-empty subset C of a pseudo BCI-algebra X, the concept of p-closure of C, denoted by C pc, is introduced and some related properties are investigated. Applying this concept, a characterization of the minimal elements of X is given. It is proved that C ^pc is the least closed pseudo BCI-ideal of X containing C and K(X) for any ideal C of X. Finally, by using the concept of p-closure, a closure operator is introduced.