Isomorphism of fields
7010
Example of two non-isomorphic fields which embed inside each other
145140
Subfield of $\mathbb{Q}(\sqrt[n]{a})$
134458
Isomorphisms preserving integral domains and fields
140865
Rings' second isomorphism theorem
78835
An automorphism of the field of $p$-adic numbers
883
$K(u,v)$ is a simple extension of fields if $u$ is separable
128443
Isomorphism between finite groups
141911
Prove that these two fields are isomorphic.
79725
Fields of arbitrary cardinality
56551
Multiplicative group of field extension over base field
48962
Show the two fields are not isomorphic
111347
Finding an example of field extensions satisfying certain properties
45179
When does the isomorphism $G\simeq \ker(\phi)\times \operatorname{im}(\phi)$? hold?
146341
Finding all ring homomorphisms from a field to itself
136422
Two finite fields with the same number of elements are isomorphic
91222
Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $
121449
An isomorphism from $GL_{2}(\mathbb{F_{2}})$ to $S_{3}$