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 QNG over Q is a neutrosophic Np -ideal of Q ⇔ G is a p-ideal of Q where G is a non-empty subset of a BCI-algebras Q.

中文翻译：

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基于中智N结构的BCI代数的p理想

本文将中智N结构应用于BCI代数的p理想。实际上，我们在BCI代数中引入了中智N -p理想概念，并研究了一些性质。此外，我们提出了中智N -p-理想的特征。此外，我们考虑了中智的N-理想思想和中智的N -p理想思想之间的关系。另外，我们提供了使中智N-理想成为中智N -p理想的条件。此外，证明了Q上的中智N结构QNG是Q的中智Np理想-G是Q的p理想，其中G是BCI代数Q的非空子集。