Prove that if * is an associative and commutative binary operation on a set S, then for
Question:
Prove that if * is an associative and commutative binary operation on a set S, then
for all a, b, c, d ∈ S. Assume the associative law only for triples as in the definition, that is, assume only
for all x, y, z ∈ S.
Transcribed Image Text:
(a * b) * (c* d) = [(d * c) *a] *b
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