m-ideals and its generators of ternary semigroups
1Laboratory of Dynamical Systems and Control, Department of Mathematics and Informatics, Larbi Ben M’hidi University, Oum-el-bouaghi, 04000, Algeria.2Faculty of Exact Science, El-oued University, Algeria
* Corresponding Author: M. Palanikumar. Email:
Received: 30 April 2021 |
Published: 30 September 2021
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Abstract
The purpose of this paper is to introduce some new classes of m-bi ideals and m-quasi ideals in ternary semigroups and give some characterizations in terms of bi ideals and quasi ideals. Let U1 be the m-bi ideal of T and U2 be the m-bi ideal of U1 such that U3 2 = U2, shown that U2 is a m-bi ideal of T. Let U1, U2 and U3 be the three ternary subsemigroups of T, it has been shown that U1U2U3 is a t-bi ideal if at least one of U1, U2, U3 is l-RI or m-LATI or n-LI of T. Also we discuss m-bi ideal generated by B is < B > sub>m= B ∪ P finite
M. Palanikumar, K. Arulmozhi.
m-ideals and its generators of ternary semigroups.
Annals of Communications in Mathematics
https://doi.org/10.62072/acm.2021.040209
Copyright © 2021 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (
https://creativecommons.org/licenses/by/4.0/).
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