If R is a U.F.D., then R [x, y] is a U.F.D. If F is a field, then F[x, y] is a U.F.D.
If R is a U.F.D., then R [x, y] is a U.F.D. If F is a field, then F[x, y] is a U.F.D.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.3: Factorization In F [x]
Problem 14E
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![If R is a U.F.D., then R[x, y] is a U.F.D.
If F is a field, then F [x, y] is à U.F.D.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fffa9b535-5adb-420d-bef1-68454bca6dd6%2Fb2cd3e72-9709-449f-b3b7-3303504f3956%2Fznafzp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If R is a U.F.D., then R[x, y] is a U.F.D.
If F is a field, then F [x, y] is à U.F.D.
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