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    Ring Isomorphism

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    Let gcd(m, n) = 1. We know that Zmn = Zm × Zn as an additive group. Is
    there a ring isomorphism Zmn = Zm × Zn? Same question for the complex
    numbers C with C = R × R as an additive group.

    © BrainMass Inc. brainmass.com October 9, 2019, 3:43 pm ad1c9bdddf
    https://brainmass.com/math/ring-theory/presence-ring-isomorphisms-11434

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    Solution Summary

    The presence of ring isomorphisms is ascertained. The solution is detailed and well presented.

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