Let Z be the set of all integers. For m, n ϵ Z

Let Z be the set of all integers. For m, n ϵ Z, define m*n=m+n+mn. Then (Z, *) is
(a) not a semigroup
(b) a commutative semigroup without identity
(c) a commutative semigroup with an identity element
(d) none

Anurag Mishra Professor Asked on 28th May 2016 in Maths.
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