A monoid is called a group if _______

a) (a*a)=a=(a+c)

b) (a*c)=(a+c)

c) (a+c)=a

d) (a*c)=(c*a)=e

Sashadhar Dutta Posted new comment

A monoid is called a group if _______

a) (a*a)=a=(a+c)

b) (a*c)=(a+c)

c) (a+c)=a

d) (a*c)=(c*a)=e

Sashadhar Dutta Posted new comment

Answer: d

Explanation: A monoid(B,*) is called Group if to each element there exists an element c such that (a*c)=(c*a)=e. Here e is called an identity element and c is defined as the inverse of the corresponding element.