Asked by  | 28th Aug, 2008, 08:07: PM

Expert Answer:

e is said to be an identity element , iff a*e  =  e *a  =  a

Here it would imply

GCD of a and e = a for all natural numbers .

Now  GCD of a and e = a , only if a is a factor of e .

Such a number e , which is divisible by every natural number a does not exist .

So *  does not have an identity element.

Answered by  | 26th Sep, 2008, 02:45: PM

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