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Keywords:
$\Gamma $-semigroup; uniformly strongly prime ideal; Noetherian $\Gamma $-semigroup; hull-kernel topology; structure space
$\Gamma $-semigroup; uniformly strongly prime ideal; Noetherian $\Gamma $-semigroup; hull-kernel topology; structure space
Summary:
In this paper we introduce the notion of the structure space of $\Gamma $-semigroups formed by the class of uniformly strongly prime ideals. We also study separation axioms and compactness property in this structure space.
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