We prove the following theorems:
1. If X ⊆ 2ω is a γ-set and Y ⊆2ω is a strongly meager set, then X + Y is Ramsey null.
2. If X ⊆2ω is a γ-set and Y belongs to the class of sets, then the algebraic sum X + Y is an set as well.
3. Under CH there exists a set X ∈ MGR* which is not Ramsey null.
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