Different prime N-ideals and IFP N-Ideals

Taşdemir F., Atagun A. O., Altındiş H.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.44, sa.4, ss.527-542, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 4
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s13226-013-0028-5
  • Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.527-542
  • Anahtar Kelimeler: Prime near-ring, prime ideal, prime N-group, 3-prime N-ideal, completely prime N-ideal, IFP N-ideal
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

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.