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 April 29th, 2009, 08:42 PM #1 Newbie   Joined: Dec 2008 Posts: 4 Thanks: 0 finitely generated ideal, idempotent Let $J$ be a finitely generated ideal such that $J=J^2$. Prove that $J$ 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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