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)=eThe question was posed to me during an interview.I need to ask this question from Group Theory in portion Groups of Discrete Mathematics

A monoid is called a group if _______(a) (a*a)=a=(a+c)(b) (a*c)=(a+c)(

1.	A monoid is called a group if _______(a) (aa)=a=(a+c)(b) (ac)=(a+c)(c) (a+c)=a(d) (ac)=(ca)=eThe question was posed to me during an interview.I need to ask this question from Group Theory in portion Groups of Discrete Mathematics
Answer» RIGHT option is (d) (ac)=(ca)=e Easy explanation: A monoid(B,) is called GROUP if to each ELEMENT there exists an element c such that (ac)=(c*a)=e. Here e is called an IDENTITY element and c is defined as the INVERSE of the corresponding element.

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A monoid is called a group if _______(a) (aa)=a=(a+c)(b) (ac)=(a+c)(c) (a+c)=a(d) (ac)=(ca)=eThe question was posed to me during an interview.I need to ask this question from Group Theory in portion Groups of Discrete Mathematics