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Ali, Alaa Hussein; Ali Alhossaini, Asaad Mohammed
Journal of physics. Conference series, 07/2020, Volume: 1591, Issue: 1Journal Article
The aim of this action is a study and investigate "Von Neumann regular" semirings, some related concepts, e.g. reduced semirings; duo semiring, quasi-duo, and weakly duo semirings; regular, weakly regular and strongly regular semirings, also investigated. Some known results related to those concepts in rings were converted to semirings. Another aim of this paper is characterization Von Neumann Regular condition by the principal right ideal generated by an idempotent element.
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