MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
ON PRIME STRONG IDEALS OF A SEMINEARRING
K. Koppula, B.S. Kedukodi, S.P. Kuncham

Abstract

The concepts of prime ideals and corresponding radicals play an important role in the study of nearrings. In this paper, we define different prime strong ideals of a seminearring $S$ and study the corresponding prime radicals. In particular, we prove that $P_e=S\mid P_e(S)=S $ is a Kurosh-Amitsur radical class where $P_{e}(S)$ denotes the intersection of equiprime strong ideals of $S$.

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Keywords: Seminearring; strong ideal; radical.

MSC: 16Y30, 16Y60

Pages:  243--256     

Volume  72 ,  Issue  3 ,  2020