Function field $K(C)$ isomorphic to $K(t)$
44453
Prove that the normalisation of $A=k[X,Y]/(Y^2-X^2-X^3)$ is $k[t]$ where $t=Y/X$ (Reid, Exercise 4.5)
106091
Showing $\mathcal{P}(X)$ is isomorphic to $2^X$
109596
Isomorphism from $\mathrm{Aut}(\mathbb{Z}/2\mathbb{Z}\times \mathbb{Z}/2\mathbb{Z})$ to $S_3$
6101
Are $\mathbb{C} \otimes _\mathbb{R} \mathbb{C}$ and $\mathbb{C} \otimes _\mathbb{C} \mathbb{C}$ isomorphic as $\mathbb{R}$-vector spaces?
84869
Are the groups $\mathbb{C}$ and $\mathbb{R}$ isomorphic?
7010
Example of two non-isomorphic fields which embed inside each other
141911
Prove that these two fields are isomorphic.
147667
Polynomial ring isomorphisms
97009
Image of ring homomorphism $\phi : \mathbb{Z}[t] \to \mathbb{Q}$?
112556
When is $F(\sqrt c)$ a field?
78835
An automorphism of the field of $p$-adic numbers
883
$K(u,v)$ is a simple extension of fields if $u$ is separable
110808
Isomorphisms preserve cyclic
146334
Are there fields $F$ such that the rings $F[x]/(x^2)$ and $F[x]/(x^2-1)$ are isomorphic?
119305
Is the splitting field equal to the quotient $k[x]/(f(x))$ for finite fields?
115129
Constructing an explicit isomorphism between finite extensions of finite fields
72478
What is the isomorphism between the fields $(Z_2[x]^{<3},+_{x^3+x^2+1},\times_{x^3+x^2+1})$ and $(Z_2[x]^{<3},+_{x^3+x+1},\times_{x^3+x+1})$?