Show that Q[x] /(x^2-2) is not isomorphic to Q[x] /(x^2-3)
63478
Is $\mathbb{Q}(\sqrt{2}) \cong \mathbb{Q}(\sqrt{3})$?
25050
To prove that $(F,+)$ and $(F-\{0\},\cdot)$ are not isomorphic as groups.
137285
Prove $\mathbb{Z}_2 \times \mathbb{Z}_2$ is not isomorphic to $\mathbb{Z}_4$
68838
Why $\sqrt[3]{3}\not\in \mathbb{Q}(\sqrt[3]{2})$?
76685
Determine $\text{Aut}(S)$ where $S = \mathbb{Q}[x]/(x^2)$
153444
$\mathbb{Q}(\sqrt[3]{2})$ is not in any cyclotomic extension of $\mathbb{Q}$
37736
How to find a function in $ L_{2}(0,\infty)$ but not $L_{q}(0,\infty)$, $q\neq 2 $
76017
Prove that $x^3-2$ and $x^3-3$ are irreducible over $\Bbb{Q}(i)$
44307
Prove $\sqrt[3]{3} \notin \mathbb{Q}(\sqrt[3]{2})$
88474
$\mathbb{A}^{2}$ not isomorphic to affine space minus the origin
127764
Showing that $\mathbb{Q}[\sqrt{2}, \sqrt{3}]$ contains multiplicative inverses
98731
Show that there is no epimorphism from ($\mathbb{Q}$, +) to ($\mathbb{Z}$, +)
85586
Proving $\mathbb{Q}$ isn't homeomorphic to $\mathbb{Z}$
143831
Showing $\mathbb{Q}$ is homeomorphic to $\mathbb{Q}^2$
48962
Show the two fields are not isomorphic
87682
Show that $\sqrt{2}\notin \mathbb{Q}(\sqrt[4]{3})$
27021
Show that $Q[\sqrt3]$ is a field