Open AccessVon Neumann Regular Semiring
Author(s) -
Alaa H. Ali,
Asaad M. A. Alhossaini
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1591/1/012093
Subject(s) - semiring , idempotence , mathematics , von neumann architecture , ideal (ethics) , kleene algebra , pure mathematics , action (physics) , element (criminal law) , algebra over a field , discrete mathematics , physics , philosophy , epistemology , quantum mechanics , political science , law
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.