on the generalization of pseudo p-closure in pseudo bci-algebras

In this paper, the notion of generalization of pseudo p-closure, denoted by gcl, is introduced and its related properties are investigated. the gcl of subalgebras and pseudo-ideals is discussed. also, a necessary and sufficient condition for an element to be minimal; and for pseudo bci-algebra to be nilpotent are given. it is proved that the set of all nilpotent elements of a pseudo bci-algebra a, denoted by na, is the least closed pseudo-ideal with the property gcl(na)=na. finally, it is shown that the mentioned notion, as a function, defines a closure operation on pseudo-ideals.