If R=Z[x] and f(x) = x2 + 1, remain true, but g(x) =x. How do you prove that in R/I, [g(x)] x [g(x)] = -1R/I I is still the principal ideal generated by f(x)
If R=Z[x] and f(x) = x2 + 1, remain true, but g(x) =x. How do you prove that in R/I, [g(x)] x [g(x)] = -1R/I I is still the principal ideal generated by f(x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If R=Z[x] and f(x) = x2 + 1, remain true, but g(x) =x. How do you prove that in R/I, [g(x)] x [g(x)] = -1R/I
I is still the principal ideal generated by f(x)
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