P. Bindu ¹, Y. Sarala ², D. Madhusudhana Rao ³, G. Jaya Lalitha ³

Affiliations
1 Department of Mathematics, KL University, Guntur - 522502, Andhra Pradesh, IN
2 Faculty of Mathematics, Department of Mathematics, KL University, Guntur – 522502, Andhra Pradesh, IN
3 Faculty of Mathematics, Department of Mathematics, VSR and NVR College, Tenali - 522201, Andhra Pradesh, IN

Abstract

This paper deals with prime and maximal ideals in ternary semigroup. In this paper we shall study the intersection of all prime ideals and intersection of all maximal ideals in a (non-commutative) ternary semigroup T. In particular we give a rather general necessary and sufficient condition in order that the set of all maximal ideals coincides with the set of all prime ideals.

Keywords

Maximal Ideal of a Ternary Semigroup, Prime Ideal

Full Text