Different prime N-ideals and IFP N-Ideals

Funda Taşdemir (), Akın Osman Atagün () and Hüseyin Altındiş ()
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Funda Taşdemir: Bozok University
Akın Osman Atagün: Bozok University
Hüseyin Altındiş: Erciyes University

Indian Journal of Pure and Applied Mathematics, 2013, vol. 44, issue 4, 527-542

Abstract: Abstract 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.

Keywords: Prime near-ring; prime ideal; prime N-group; 3-prime N-ideal; completely prime N-ideal; IFP N-ideal (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s13226-013-0028-5

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