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http://dx.doi.org/10.5666/KMJ.2020.60.3.455

Purities of Ordered Ideals of Ordered Semirings  

Ayutthaya, Pakorn Palakawong na (Department of Mathematics, Faculty of Science, Khon Kaen University)
Pibaljommee, Bundit (Department of Mathematics, Faculty of Science, Khon Kaen University)
Publication Information
Kyungpook Mathematical Journal / v.60, no.3, 2020 , pp. 455-465 More about this Journal
Abstract
We introduce the concepts of the left purity, right purity, quasi-purity, bipurity, left weak purity and right weak purity of ordered ideals of ordered semirings and use them to characterize regular ordered semirings, left weakly regular ordered semirings, right weakly regular ordered semirings and fully idempotent ordered semirings.
Keywords
pure ordered ideal; ordered semiring; regular ordered semiring;
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Times Cited By KSCI : 1  (Citation Analysis)
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