In analogy with the concept of bi-ideal of Γ-near subtraction semigroups, we introduce the notion of minimal bi-deal of Γ-near subtraction semigroups. In this paper, we obtain a necessary and sufficient condition for a zero-symmetric Γ-near subtraction semigroup to be a Γ-near – field. Further we have proved some properties of minimal bi-deal of Γ-near subtraction semigroupsand its characterization theorems.
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