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].
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].
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.3: The Characteristic Of A Ring
Problem 16E: A Boolean ring is a ring in which all elements x satisfy x2=x. Prove that every Boolean ring has...
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