[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c160271

CHARACTERIZATIONS OF ORDERED INTRA k-REGULAR SEMIRINGS BY ORDERED k-IDEALS

Ayutthaya, Pakorn Palakawong na (Department of Mathematics Khon Kaen University)
Pibaljommee, Bundit (Department of Mathematics Khon Kaen University)

Publication Information

Communications of the Korean Mathematical Society / v.33, no.1, 2018 , pp. 1-12 More about this Journal

Abstract

We introduce the notion of ordered intra k-regular semirings, characterize them using their ordered k-ideals and prove that an ordered semiring S is both ordered k-regular and ordered intra k-regular if and only if every ordered quasi k-ideal or every ordered k-bi-ideal of S is ordered k-idempotent.

Keywords

ordered semiring; ordered k-regular; ordered k-ideal;

Citations & Related Records

Reference

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