Different prime N-ideals and IFP N-Ideals

作者：Tasdemir Funda^*; Atagun Akin Osman; Altindis Huseyin

来源：Indian Journal of Pure and Applied Mathematics, 2013, 44(4): 527-542.

DOI：10.1007/s13226-013-0028-5

• Prime near-ring
• prime ideal
• prime N-group
• 3-prime N-ideal
• completely prime N-ideal
• IFP N-ideal

We provide some characterizations of completely prime (completely semiprime) and 3-prime (3-semiprime) N-groups. The relationship between a 3-prime (completely prime) N-ideal P of an N-group I" and the ideal (P: I") of the near-ring N is investigated. Moreover, the notion of IFP N-ideal is defined. We prove that the concept of IFP N-ideal occurs naturally where N is a left permutable (left self distributive, subcommutative) near-ring and I" a monogenic N-group. Also, we obtain some relationships between an IFP N-ideal P of an N-group I" and the ideal (P: I") of the near-ring N.

• 出版日期2013-8