An element a of a ring R is idempotent if a 2 = a. a. Show that

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An element a of a ring R is idempotent if a² = a.

a. Show that the set of all idempotent elements of a commutative ring is closed under multiplication.

b. Find all idempotents in the ring Z₆ x Z₁₂.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 04, 2023 05:05 AM

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An element a of a ring R is idempotent if a 2 = a. a. Show that

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a If a 2 a and b 2 b and if the ring is commutative then ab 2 abab aabb a ...View the full answer

A First Course In Abstract Algebra

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