Suppose that * is an associative and commutative binary operation on a set S. Show that H
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Suppose that * is an associative and commutative binary operation on a set S. Show that H = {a ∈ S| a* a = a} is closed under *· (The elements of H are idempotents of the binary operation *·)
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Let a b H By definition of H we have a a a and b b b Usin...View the full answer
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