5.8. Let R = C[t]. Show that S = R[x]/((x)^(x, t)²) is not flat over R.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 21E
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Exercise 5.8. Let R = C[t]. Show that S = R[x]/((x) n (x, t)²) is not flat over R.
Transcribed Image Text:Exercise 5.8. Let R = C[t]. Show that S = R[x]/((x) n (x, t)²) is not flat over R.
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