Characterizations of Regular Ordered Semirings by Ordered Quasi-Ideals

Pakorn Palakawong na Ayutthaya and Bundit Pibaljommee

International Journal of Mathematics and Mathematical Sciences, 2016, vol. 2016, 1-8

Abstract:

We introduce the notion of an ordered quasi-ideal of an ordered semiring and show that ordered quasi-ideals and ordered bi-ideals coincide in regular ordered semirings. Then we give characterizations of regular ordered semirings, regular ordered duo-semirings, and left (right) regular ordered semirings by their ordered quasi-ideals.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:4272451

DOI: 10.1155/2016/4272451

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