Question: Let A = R+. Define and on A by a b = ab, the ordinary product of a, b; and a

Let A = R+. Define ⊕ and ⊙ on A by a ⊕ b = ab, the ordinary product of a, b; and a ⊙ b = alog2b.
(a) Verify that (A, ⊕, ⊙) is a commutative ring with unity.
(b) Is this ring an integral domain or field?

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