If R is a commutative ring with identity and = a n x n +
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If R is a commutative ring with identity and ∫= anxn + • • • + a0 is a zero divisor in R[x], then there exists a nonzero b ϵ R such that ban. = ban-1 = · · ·= bao = 0.
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Lets assume that anxn a0 is a zero divisor in Rx This means that there exists a nonzero polynomial f...View the full answer
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Related Book For 
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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