# 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.

https://brainmass.com/math/ring-theory/rings-unity-form-group-28625

#### Solution Summary

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

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