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Let R be a ring. An idempotent of R is an element e E R such that es = e. (a) Find all idempotents in

Let R be a ring. An idempotent of R is an element e E R such that es = e. (a) Find all idempotents in Z12. (b) Find all idempotents in Z4 X Z6. (c) Prove that the only idempotents in an integral domain are OR, 1 R

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