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In this section we prove if S be a SN Γ-semigroup with DCC on the right ideals. P(S) has IF P then SΓ(P ) has the IF P for each P ∈ mSpec(S) and also we prove if S be a SN Γ-semigroup and satisfies DCC right ideals. S is a 2 primal Γ-semigroup then SΓ P is a completely semiprime ideal.doi:10.12732/ijpam.v114i4.17 fatcat:zzrll2hxbbdllpj3jtmlnkzyqm