Condition for monoid is __________
A. (a+e)=a
B. (a*e)=(a+e)
C. a=(a*(a+e)
D. (a*e)=(e*a)=a
Answer:D
Condition for monoid is __________
A. (a+e)=a B. (a*e)=(a+e) C. a=(a*(a+e) D. (a*e)=(e*a)=a
Explanation: 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 *.