Question: Determine whether the given map is an isomorphism of the first binary structure with the second. If it is not an isomorphism, why not?

Determine whether the given map ∅ is an isomorphism of the first binary structure with the second. If it is not an isomorphism, why not?

(R, +) with (R+, •) where ∅(r) = 0.5r for r ∈ R.

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