The notion of strongly prime right ideal is analogous to that of completely prime ideal in a commutative ring. We prove that the intersection of all strongly prime right ideals of a ring R coincides with the Levitzki radical of this ring. We also give various conditions on a noncommutative ring R so that R is 2-primal.
Prime right ideal Strongly prime right ideal 2-primal ring AC-ring Regular ring 2000 AMS Classification: 17 B 40
Birincil Dil | İngilizce |
---|---|
Konular | İstatistik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Nisan 2010 |
Yayımlandığı Sayı | Yıl 2010 Cilt: 39 Sayı: 4 |