Some Properties Of Simple Ternary
Semigroups

T.Sunitha; Dr. G. Shobhalatha; Dr. U Nagi Reddy

doi:https://doi.org/10.14445/22315373/IJMTT-V65I6P516

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 6 | Year 2019 | Article Id. IJMTT-V65I6P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I6P516

Some Properties Of Simple Ternary Semigroups

T.Sunitha, Dr. G. Shobhalatha, Dr. U Nagi Reddy

Abstract

Completely simple semigroups was studied by P. R. Jones and simple ternary semigroups was studied by G. Sheeja and S. Sri Balaji in 2013. In this paper we considered Simple Ternary semigroups and we proved some proved their some properties. Mainly we prove that If ( T ,.) is a ternary semi-group then T is left, right and lateral simple if and only if every fuzzy quasi ideal of T is a constant function.

Keywords

Ternary Semigroup, Regular, Simple Semigroup, Ideals, Fuzzy Quasi ideal.

References

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Citation :

T.Sunitha, Dr. G. Shobhalatha, Dr. U Nagi Reddy, "Some Properties Of Simple Ternary Semigroups," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 6, pp. 98-103, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I6P516