Different prime N-ideals and IFP N-Ideals

被引：0
作者：
Funda Taşdemir
Akın Osman Atagün
Hüseyin Altındiş
机构：
[1] Bozok University,Department of Mathematics
[2] Erciyes University,Department of Mathematics
来源：
Indian Journal of Pure and Applied Mathematics | 2013年 / 44卷
关键词：
Prime near-ring; prime ideal; prime ; -group; 3-prime ; -ideal; completely prime ; -ideal; IFP ; -ideal;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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 Γ and the ideal (P: Γ) 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 Γ a monogenic N-group. Also, we obtain some relationships between an IFP N-ideal P of an N-group Γ and the ideal (P: Γ) of the near-ring N.
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页码：527 / 542
页数：15
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