Mathematics · Group Theory

Let &integ; be the set of all integers and '' be a binary operation on &integ; defined by a b = a + b + 10 for all a, b ∈ &integ;. Then (&integ;, ) is an abelian group. The identity element of this group is:

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Let &integ; be the set of all integers and '*' be a binary operation on &integ; defined by a * b = a + b + 10 for all a, b ∈ &integ;. Then (&integ;, ) is an abelian group. The identity element of this group is: