Asked by | 28th Aug, 2008, 08:07: PM
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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