On (m,n)-quasi-gamma-ideals in ordered la-gamma-semigroups
Abstract
In this paper, we introduce the concepts of m-left-Γ-ideals, n-right-Γ-ideals and (m,n)-quasi-Γ-ideals in ordered LA-Γ-semigroups and investigate about some properties of those ideals. We show that the intersection of an m-left-Γ-ideal and an n-right-Γ-ideal of an ordered LA-Γ-semigroup is an (m,n)-quasi-Γ-ideal. In addition, we introduce the notion of the (m,n) intersection property in ordered LA-Γ-semigroups and prove that every (m,n)-quasi-Γ-ideal in an ordered LA-Γ-semigroup with left identity has the (m,n) intersection property.
Copyright © 2021 Wichayaporn Jantanan, Ronnason Chinram, Pattarawan Petchkaew. 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
W. Jantanan, R. Chinram, P. Petchkaew, On (m,n)-quasi-gamma-ideals in ordered la-gamma-semigroups, J. Math. Comput. Sci. 11 (2021), 3377–3390. https://doi.org/10.28919/jmcs/5705
BibTeX
@article{Jantanan2021,
author = {Jantanan, Wichayaporn and Chinram, Ronnason and Petchkaew, Pattarawan},
title = {On (m,n)-quasi-gamma-ideals in ordered la-gamma-semigroups},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {3377--3390},
doi = {10.28919/jmcs/5705}
}