Author:
Ali Alaa Hussein,Ali Alhossaini Asaad Mohammed
Abstract
Abstract
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.
Subject
General Physics and Astronomy
Reference24 articles.
1. Singular Radical in Semiring;Dutta;Southeast Asian Bulletin of Mathematics,2010
2. Principally Pseudo-Injective Semimodule. J of Babylon;Alhossaini;Pure and Applied Sciences,2019
3. Some Homological Characterizations of Semigroups and Semirings;Ahsan;Acta Math Sinica.,2011
4. Von Neumann regularity in semirings;Sen;Kyungpook Math. J.,1995