On prime strong ideals of a seminearring

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Abstract

The concept 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 corresponding prime radicals. In particular, we prove that Pe = {S|Pe(S) = S} is a Kurosh-Amitsur radical class where Pe(S) denotes the intersection of equiprime strong ideals of S.

Original languageEnglish
Pages (from-to)243-256
Number of pages14
JournalMatematicki Vesnik
Volume72
Issue number3
Publication statusPublished - 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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