On prime one-sided ordered ideals of ordered semirings

Saenthavisouk Phomthichith, Pakorn Palakawong Na Ayutthaya, Bundit Pibaljommee

Abstract


We define the notions of prime, semiprime, weakly prime and weakly semiprime properties of one-sided ordered ideals of ordered semirings, study their connections and use them to characterize several kinds of regularities on ordered semirings.


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Published: 2021-05-19

How to Cite this Article:

Saenthavisouk Phomthichith, Pakorn Palakawong Na Ayutthaya, Bundit Pibaljommee, On prime one-sided ordered ideals of ordered semirings, J. Math. Comput. Sci., 11 (2021), 3792-3805

Copyright © 2021 Saenthavisouk Phomthichith, Pakorn Palakawong Na Ayutthaya, Bundit Pibaljommee. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

 

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