Show that this extension is not integral.
39201
Atiyah-Macdonald, Exercise 5.4
36921
An Open Interval and a Half-open Interval are not Homeomorphic
67157
Example of an non-normal inseparable field extension
45432
Showing that $f:(0,2\pi]\to S^1$ is not a homeomorphism
155170
Proving $\sin(x^2)$ Continuous but Not Uniformly Continuous with non-standard Definition
92703
Proving that $\mathbb{Z}[x]$ and $\mathbb{Q}[x]$ are not isomorphic.
90055
Show that $\mathcal P(x)\notin x$
125043
Show that F(A−B) is not necessarily a subset of F(A)−F(B).
70576
Elementary proof that $\mathbb{R}^n$ is not homeomorphic to $\mathbb{R}^m$
97391
Prove that $(C^1[0,1], \|\cdot\|)$ is not a Banach space
85586
Proving $\mathbb{Q}$ isn't homeomorphic to $\mathbb{Z}$
21843
Proving a function is not Riemann integrable
39583
ii) Show that $u$ is not a real part of the function which analytic on $\mathbb{C} \backslash \lbrace 0 \rbrace$
108955
Showing $(\mathbb{Q},+)$ is not isomorphic to $(\mathbb{R},+)$
12189
Prove norm doesn't come from inner product.
3978
How can you prove that a function has no closed form integral?
83595
Proving that $\mathbb{A}=\{\alpha \in \mathbb{C}: \alpha \text{ is algebraic over } \mathbb{Q} \}$ is not a finite extension