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Condition for monoid is __________(a) (a+e)=a(b) (a*e)=(a+e)(c) a=(a*(a+e)(d) (a*e)=(e*a)=aThe question was asked during an interview for a job.The question is from Group Theory topic in portion Groups of Discrete Mathematics

Answer»

Correct option is (d) (a*e)=(e*a)=a

To explain: A SEMIGROUP (S,*) is DEFINED as a monoid if there exists an ELEMENT e in S such that (a*e) = (e*a) = a for all a in S. This element is CALLED identity element of S w.r.t *.



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