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?© BrainMass Inc. brainmass.com October 16, 2018, 7:46 pm ad1c9bdddf
Let us first take that it is possible to have the unity 'e', in S, different from 1. S being the ...
Ring unity is investigated and discussed in the solution.
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.
A reminder was given to make sure to show that U is closed under multiplication.