Hybrid ideals in ordered semigroups and some characterizations of their regularities
Abstract
The main theme of this present paper is to apply the concept of hybrid structure to study some algebraic properties of ordered semigroups. Indeed, we define the notion of hybrid left (resp., right) ideals in ordered semigroups, and their related properties are investigated. Furthermore, we provide characterizations of regular, intra-regular, and weakly regular ordered semigroups in terms of hybrid left and right ideals.
Copyright © 2021 Jirapong Mekwian, Nareupanat Lekkoksung. 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
J. Mekwian, N. Lekkoksung, Hybrid ideals in ordered semigroups and some characterizations of their regularities, J. Math. Comput. Sci. 11 (2021), 8075–8094. https://doi.org/10.28919/jmcs/6638
BibTeX
@article{Mekwian2021,
author = {Mekwian, Jirapong and Lekkoksung, Nareupanat},
title = {Hybrid ideals in ordered semigroups and some characterizations of their regularities},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {8075--8094},
doi = {10.28919/jmcs/6638}
}