On prime one-sided ordered ideals of ordered semirings
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.
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.
Cite this article
S. Phomthichith, P. P. N. Ayutthaya, B. Pibaljommee, On prime one-sided ordered ideals of ordered semirings, J. Math. Comput. Sci. 11 (2021), 3792–3805. https://doi.org/10.28919/jmcs/5817
BibTeX
@article{Phomthichith2021,
author = {Phomthichith, Saenthavisouk and Ayutthaya, Pakorn Palakawong Na and Pibaljommee, Bundit},
title = {On prime one-sided ordered ideals of ordered semirings},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {3792--3805},
doi = {10.28919/jmcs/5817}
}