Aptitude | GATE CS 1998 | Question 68

Let (A, *) be a semi group. Furthermore, for every a and b in A, if a ≠ b, then a*b ≠ 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



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