In this paper, we introduced the hull-kernel topology \tau on the set \mathcal P of prime ideals in a partially ordered ternary semigroup T and investigated various topological properties of the structure space (\mathcal P, \tau). We also obtained some useful results about compactness and connectedness of the set of all prime full ideals of T.


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Gophane, Machchhindra, Shinde, Dattatray