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m-ideals and its generators of ternary semigroups

Laboratory of Dynamical Systems and Control, Department of Mathematics and Informatics, Larbi Ben M’hidi University, Oum-el-bouaghi, 04000, Algeria.

Faculty of Exact Science, El-oued University, Algeria

* Corresponding Author
Annals of Communications in Mathematics 2021
, 4 (2),
164-171.
https://doi.org/10.62072/acm.2021.040209
Received: 30 April 2021 |
Accepted: 30 June 2021 |
Published: 30 September 2021

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

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Cite This Article

m-ideals and its generators of ternary semigroups.

Annals of Communications in Mathematics,

2021,
4 (2):
164-171.
https://doi.org/10.62072/acm.2021.040209
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  • Copyright (c) 2023 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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