In this paper we introduce the notion of equiprime N-ideals where N is a near-ring. We consider the interconnections of equiprime, 3-prime and completely prime N-ideals of a monogenic N-group Γ. We show that if P is an equiprime N-ideal of Γ, then (P : Γ)N is an equiprime ideal of N, and that the converse holds when N is a right permutable near-ring and Γ is a monogenic N-group.
Prime near-ring Prime ideal Prime N-group Equiprime N-ideal 2000 AMS Classification: 16 Y 30
Birincil Dil | İngilizce |
---|---|
Konular | İstatistik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Mart 2011 |
Yayımlandığı Sayı | Yıl 2011 Cilt: 40 Sayı: 3 |