Q12

MCQMarks unknown

Let $(A, *)$ be a semigroup, Furthermore, for every $a$ and $b$ in $A$ , if $a \neq b$ , then $a*b \neq b*a$ .

(A)

Show that for every $a$ in $A$ , $a*a=a$

(B)

Show that for every $a$ , $b$ in $A$ , $a*b*a=a$

(C)

Show that for every $a,b,c$ in $A$ , $a*b*c=a*c$

Loading…