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Ring Unity

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Let R be a ring with unity 1 and let S be a subring of R. Is it possible that S has unity e such that e does not equal 1?

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Let us first take that it is possible to have the unity 'e', in S, different from 1. S being the ...

Solution Summary

Ring unity is investigated and discussed in the solution.

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Rings with Unity that Form a Group

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.
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