Q.1 Determine whether or not each of the definition of ∗ given below gives a binary
operation. In the event that ∗ is not a binary operation, give justification for this

(v) On  Z^+ , define ∗ by a * b = a

Answers (1)

(v) On  Z^+ , define ∗ by a * b = a

* carries each pair (a,b)  to a unique element a * b = a in  Z^+.

Therefore,* is a binary operation.

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