Let * on set of natural number be defined by
$ a *b =a-b \qquad a,b \in N$
Let $a-b =a$
$(ie) b=0 \notin N$
Therfore there does not exist any element 'e' in N such that $a*e=e *a =a$
Identify element does not exists for bianry operation *
The given statement is 'False'