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April 29th, 2009, 09:42 PM  #1 
Newbie Joined: Dec 2008 Posts: 4 Thanks: 0  finitely generated ideal, idempotent
Let be a finitely generated ideal such that . Prove that is principal and generated by an idempotent. This looks like a straightforward question, but I do not know how to prove this is principal or how this is generated by an idempotent. How should I go about showing this? 

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finitely, generated, ideal, idempotent 
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