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