Feride KUZUCUOĞLU

ON ONE SIDED STRONGLY PRIME IDEALS

Yayın Aralığı: 6
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

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.

Keywords:

Prime right ideal, Strongly prime right ideal, 2-primal ring, AC-ring, Regular ring 2000 AMS Classification: 17 B 40,

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