Indian Journal of Science and Technology
Year: 2015, Volume: 8, Issue: 14, Pages: 1-4
P. Bindu1 , Y. Sarala2*, D. Madhusudhana Rao3 and G. Jaya Lalitha1
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; [email protected]
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
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