Characterizations of completely ordered k-regular semirings

We introduce the notion of a completely ordered k-regular semiring as a generalization of a completely regular ordered semiring and characterize it using its ordered k-ideals. Moreover, we show that an ordered semiring 𝑆 is completely ordered kregular if and only if every ordered k-bi-ideal of 𝑆 is...

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Bibliographic Details
Main Authors: Pakorn Palakawong na Ayutthaya, Bundit Pibaljommee
Format: Article
Language:English
Published: Prince of Songkla University 2019-06-01
Series:Songklanakarin Journal of Science and Technology (SJST)
Subjects:
Online Access:https://rdo.psu.ac.th/sjstweb/journal/41-3/3.pdf