Answer :


We know that, ‘e’ is called an identity element for the binary operation ‘*’ on set S, such that

a * e = e * a = a a S

Let ‘+’ be a binary operation on set N.

Now, we need to find e N such that

n + e = e + n = n n N

n + 0 = 0 + n = n n N

We observe that addition of any natural number with 0 gives the desired result but 0 N, hence 0 is not the identity element for the addition operation on N.

The binary operation ‘+’ on N does not have any identity element.

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