A ring R is a Boolean ring if a 2 = a for all a R,

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A ring R is a Boolean ring if a² = a for all a ∈ R, so that every element is idempotent. Show that every Boolean ring is commutative.

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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 04:20 AM

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A ring R is a Boolean ring if a 2 = a for all a R,

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Let a b R where R is a Boolean ring We have a b a b 2 a 2 ab ...View the full answer

A First Course In Abstract Algebra

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