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Further remarks on z-ideals of semirings

DOI: 10.2989/16073606.2025.2533747
Author(s): Amartya Goswami University of Johannesburg, South Africa, Ahmed Maatallah University of Monastir, Faculty of Sciences of Monastir, Research Laboratory on Algebra, Tunisia,

Abstract

In this note, we revisit certain results from a previous work of the first author concerning z-ideals of semirings. We demonstrate that the assumption of the semiring being a bzi-semiring can be dispensed with. Additionally, we propose a revised definition of the z-radical that enables a more general formulation of results from the earlier work.

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