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Different prime N-ideals and IFP N-Ideals

Author

Listed:
  • Funda Taşdemir

    (Bozok University)

  • Akın Osman Atagün

    (Bozok University)

  • Hüseyin Altındiş

    (Erciyes University)

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.

Suggested Citation

  • Funda Taşdemir & Akın Osman Atagün & Hüseyin Altındiş, 2013. "Different prime N-ideals and IFP N-Ideals," Indian Journal of Pure and Applied Mathematics, Springer, vol. 44(4), pages 527-542, August.
    • Handle: RePEc:spr:indpam:v:44:y:2013:i:4:d:10.1007_s13226-013-0028-5
    DOI: 10.1007/s13226-013-0028-5
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