Indian Journal of Science and Technology

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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.

Keywords

Maximal Ideal of a Ternary Semigroup, Prime Ideal
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