SONGKLANAKARIN JOURNAL OF SCIENCE & TECHNOLOGY

Volume 41, No. 03, Month MAY, Year 2019, Pages 501 - 505

Characterizations of completely ordered k-regular semirings

Pakorn Palakawong na Ayutthaya and Bundit Pibaljommee

Abstract Download PDF

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 semiprime

Keywords

ordered semiring, ordered k-regular semiring, completely regular semiring, completely ordered k-regular semiring

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