(6) In Boolean ring R, if a is an element in R then a is O (i) idempotent O (ii) nilpotent O (iii) zero divisor

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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(6) In Boolean ring R, if a is
an element in R then a is
O (i) idempotent
O (ii) nilpotent
O (iii) zero divisor
Transcribed Image Text:(6) In Boolean ring R, if a is an element in R then a is O (i) idempotent O (ii) nilpotent O (iii) zero divisor
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