Prove that the only idempotent elements in an integral domain R with unity are 0 and 1.
Prove that the only idempotent elements in an integral domain R with unity are 0 and 1.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.2: Integral Domains And Fields
Problem 18E: [Type here]
18. Prove that only idempotent elements in an integral domain are and .
[Type here]
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Transcribed Image Text:Prove that the only idempotent elements in an integral
domain R with unity are 0 and 1.
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