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Question

Determine wherther or not each of the defintion of given below gives a binary operation. In the event that is not a binary operation, give justification for this.
(ii) ON Z+, defined by ab=ab

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Solution

On Z+, is defined by ab=ab.
It is seen that for each a,b in Z+, there is a unique element ab in Z+.
This means that as carries each pair (a,b)to a unique element ab=ab in Z+.
Therefore, is a binary operation.


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