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   On z-ideals and z-closure operations of semirings, I

   Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Amartya Goswami --- University of Johannesburg, South Africa

   The aim of this series of papers is to study z-ideals of semirings. In this article, we introduce some distinguished classes of z-ideals of semirings, which include z-prime, z-semiprime, z-irreducible, and z-strongly irreducible ideals and study some of their properties...

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2. 

   Further remarks on z-ideals of semirings

   Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Amartya Goswami --- University of Johannesburg, South Africa Ahmed Maatallah --- University of Monastir, Faculty of Sciences of Monastir, Research Laboratory on Algebra, Tunisia

   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...

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