28. A ring R is a Boolean ring if for every a E R, a² = a. Show that every Boolean ring is a commutative ring.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.3: The Characteristic Of A Ring
Problem 16E: A Boolean ring is a ring in which all elements x satisfy x2=x. Prove that every Boolean ring has...
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Abstract Algebra problem:

 

28.
A ring R is a Boolean ring if for every a E R, a² = a. Show that every Boolean
ring is a commutative ring.
Transcribed Image Text:28. A ring R is a Boolean ring if for every a E R, a² = a. Show that every Boolean ring is a commutative ring.
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