Show that none of the operations given below has identityLet ‘e’ – InterviewSolution

1.

Show that none of the operations given below has identityLet ‘e’ be the identity in Q such that

Answer»

a * e = e * a = a

a – e = a = e – a

⇒ e = 0

or

e = 2a ∀ a ∈ Q

which is not possible.

Hence no identity.

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