What are three idempotents of the quotient ring ? So an element is of the form where . So . So one idempotent would be: . The others would be just guess and check?
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Originally Posted by Sampras What are three idempotents of the quotient ring ? So an element is of the form where . So . So one idempotent would be: . The others would be just guess and check? Besides 0 I'd check 1 (!!) and Tonio
Originally Posted by Sampras What are three idempotents of the quotient ring ? So an element is of the form where . So . So one idempotent would be: . The others would be just guess and check? use Chinese Remainder Theorem for rings: since and are coprime, we have obviously for any two rings an element is an idempotent iff and are idempotents.
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