The structure of rings in which every proper ideal is prime has been studied, for example, in [1] and [2]. In this paper, we investigate right ideal structure in such rings and link to conditions under which such rings are simple rings.

fully prime, right bounded.

Received: September 3, 2024; Revised: October 8, 2024; Accepted: October 30, 2024; Published: November 9, 2024

How to cite this article: Hisaya Tsutsui, On one-sided ideal structure of rings in which every proper ideal is prime, JP Journal of Algebra, Number Theory and Applications 64(1) (2025), 1-10. https://doi.org/10.17654/0972555525001

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