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Asked Feb 9, 2020
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Can someone please help me understand the following problem. I need to know how to start the problem. i need to know the theorems ,identities,  used please thank you.

 

18. A ring element a is called an idempotent if a? = a. Prove that the
only idempotents in an integral domain are 0 and 1.
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18. A ring element a is called an idempotent if a? = a. Prove that the only idempotents in an integral domain are 0 and 1.

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