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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

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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

Keywords

m-bi ideals; m-ideals; m-quasi ideals

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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