A ring, R, in which r^2 = r for all elements r in R is called a Boolean ring. In any Boolean ring, prove R is a communitive ring (r+s)^2 = r^2 + s^2
A ring, R, in which r^2 = r for all elements r in R is called a Boolean ring. In any Boolean ring, prove R is a communitive ring (r+s)^2 = r^2 + s^2
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.2: Integral Domains And Fields
Problem 15E: [Type here]
15. Give an example of an infinite commutative ring with no zero divisors that is not an...
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- A ring, R, in which r^2 = r for all elements r in R is called a Boolean ring. In any Boolean ring, prove
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- R is a communitive ring
- (r+s)^2 = r^2 + s^2
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