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
Answer:
Explanation:
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