Pl. Proof 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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Answered: If R is a U.F.D., then R [x, y] is a…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.1: Polynomials Over A Ring

Problem 14E: 14. Prove or disprove that is a field if is a field.

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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 a U.F.D.