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November 13th, 2012, 09:51 AM   #1
 
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Provement...

Hello! I have such problem:
Prove that in any group is the only one neutral element.
I don't have any idea.
Please, prove it. I want to insight. Thank you very much beforehand.
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November 13th, 2012, 06:09 PM   #2
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Re: Provement...

The "neutral element", also called the "identity", e, has the property that for any element, a, in the group, ae= ea= a. If there were two "neutral elements", e and e', what can you say about e'e?
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