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Elements Of Modern Algebra

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.1: Definition Of A Ring

Problem 38E: An element x in a ring is called idempotent if x2=x. Find two different idempotent elements in M2().

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An element in a ring is called an idempotent if x² = x. Prove that the only idempotents in an
integral domain are and 0 and 1. Find a ring with a idempotent not equal to 0 or 1.

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