Abstract
In this paper, neutrosophic N-structures are applied to p-ideals of BCI-algebras. In fact, we introduce the notion of neutrosophic N-p-ideal in BCI-algebras, and investigate several properties. Further, we present characterizations of neutrosophic N-p-ideal. Moreover, we consider relations between a neutrosophic N-ideal and a neutrosophic N-p-ideal. Also, we provide conditions for a neutrosophic N-ideal to be a neutrosophic N-p-ideal. Furthermore, it is proved that the neutrosophic N-structure Q(N)(G) over Q is a neutrosophic N-p-ideal of Q double left right arrow G is a p-ideal of Q where G is a non-empty subset of a BCI-algebras Q.