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    Rings with Unity that Form a Group

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    I need to prove the following:
    Show that if U is the collection of all units in a ring <R, +, *> with unity, then <U,*> is a group.
    A reminder was given to make sure to show that U is closed under multiplication.

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    Solution Summary

    Rings with Unity that Form a Group are investigated. The solution is detailed and well presented.