Prove that every Boolean ring is commutative. Is the converse true? Explainyour answer.

We can solve this using definition of boolean ring

Answered: Prove that every Boolean ring is…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.2: Ring Homomorphisms

Problem 2E: 2. Prove that is commutative if and only if is commutative.

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Prove that every Boolean ring is commutative. Is the converse true? Explain your answer.