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Subjective
GATE CSE 1998
Let (A, *) be a semigroup. Furthermore, for every a and b in A, if a≠b, then a∗b≠b∗a.
(a) Show that for every a in Aa * a = a(b) Show that for every a, b in Aa * b * a = a(c) Show that for every a, b, c in Aa * b * c = a * c
