P-CLOSURE IN PSEUDO BCI-ALGEBRAS

Abstract

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