abstract algebra Example 2.35If S is a subring of a ring R, then Sr] is a subring of Rr].Exercise 2.35.1Prove this assertion!In particular, this shows that Q[x] is a subring of R[x], which in turn isa subring of C[x].

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Answered: If S is a subring of a ring R, then…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.1: Ideals And Quotient Rings

Problem 3TFE: True or false Label each of the following statements as either true or false. 3. The only ideal of a...

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If S is a subring of a ring R, then S[a] is a subring of R[x]. Exercise 2.35.1 Prove this assertion! In particular, this shows that Q[x] is a subring of R[r], which in turn is a subring of C[r].