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Abstract

Then they have studied 3-primeness and c-primeness in details (Taşdemir et al. 2013). In this study, the concept of completely equiprime N-group is generalized to ideals of N-groups, called completely equiprime N-ideals. Also the interconnections of completely equiprime, equiprime and completely prime N-ideals are considered. Furthermore, some relationships between a completely equiprime N-ideal P and the ideal (P: Γ) are obtained. The relation between the concepts of completely equiprime N-ideal and IFP N-ideal is also observed. 2. Preliminaries Throughout this study N stands for a right near-ring. In Pilz's book (1983), for all undefined concepts concerning near-rings are given. For further information in near-rings of prime ideals could be found from Atagün (2010) and Dheena et al. (2004).