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Abstract Algebra Proof and Equivalence Class

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Suppose [a]m (m is a subscript) represents an equivalence class modulo m, where m is an integer. Prove that for any two integers a and b that, under multiplication, [a]m[b]m = [ab]m.

Again, m is written as a subscript.

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This solution provides a concise and easy to follow response which illustrates how to solve an abstract algebraic proof. The solution is provided in an attached Word document.

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