The Difference Ring of the Subweak ГN-Ring Relative to Finitely Generated Strong Nil Radical

Abstract:

      In this paper, the subweak Г_N-ring is defined, and it is proved that suppoe the strong nil radical N is finitely generative, then M/N is certainly strong nil semi-simple. Finally, if M has strong nilpotent radical I, then the finitely generated strong nil radical N coincide with I.