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    Rings and Units

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    Given r and s in a ring R, show that 1 + rs is a unit if and only if 1 + sr is a unit.

    © BrainMass Inc. brainmass.com March 4, 2021, 5:53 pm ad1c9bdddf
    https://brainmass.com/math/ring-theory/rings-units-15979

    Solution Preview

    Given r and s in a ring
    IF 1 + rs is a unit
    s(1+rs) = (1+ sr)s Theorem
    ...

    Solution Summary

    Rings and units are investigated.

    $2.19

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