Prime and Maximal Ideals in Ternary Semigroups

P. Bindu; Y. Sarala; D. Madhusudhana Rao; G. Jaya Lalitha

doi:10.17485/ijst/2015/v8i13/75197

Prime and Maximal Ideals in Ternary Semigroups

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

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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.