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Let R = Z with addition ⊕ and multiplication ⊗ defined as follows: a ⊕ b...

Let R = Z with addition ⊕ and multiplication ⊗ defined as follows:

a ⊕ b := a + b − 1

a ⊗ b := ab − (a + b) + 2

Show that this a commutative ring with unity

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