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Determine whether or not each of the def...

Determine whether or not each of the definition of * given below are binary operations, justify your answer.
(a) a * b = `ab^(2)` on `Z^(+)` , (b) `a * b = |a-b|` on `Z^(+)`
( c) `a * b = a` on `Z^(+)`, (d) `a * b=a+1 +1` on N
( e) `a * b =a+b -2` on N , (f) `a * b =a//2b` on N.

Text Solution

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The correct Answer is:
a) yes, b) yes, c) yes, d) yes, e) no, f) no
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