Prove that a nonempty set G, together with an associative binary operation * on G such that
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Prove that a nonempty set G, together with an associative binary operation * on G such that a * x = b and y * a = b have solutions in G for all a, b ∈ G, is a group.
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We show there is a left identity element and that each element has a left ...View the full answer
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