Yazarlar (3) |
![]() Bozok Üniversitesi, Türkiye |
![]() Bozok Üniversitesi, Türkiye |
![]() Erciyes Üniversitesi, Türkiye |
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. |
Anahtar Kelimeler |
3-prime N-ideal | completely prime N-ideal | IFP N-ideal | prime ideal | prime N-group | Prime near-ring |
Makale Türü | Özgün Makale |
Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
Dergi Adı | INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS |
Dergi ISSN | 0019-5588 Wos Dergi Scopus Dergi |
Dergi Tarandığı Indeksler | SCI-Expanded |
Dergi Grubu | Q4 |
Makale Dili | İngilizce |
Basım Tarihi | 08-2013 |
Cilt No | 44 |
Sayı | 4 |
Sayfalar | 527 / 542 |
Doi Numarası | 10.1007/s13226-013-0028-5 |