Example of a field embedding from K to K which is not an Automorphism.
93358
Find an example of a non-surjective field endomorphism
104851
A finite field cannot be an ordered field.
120035
Pattern in Isomorphisms between $\mathbb Z_m \times \mathbb Z_n$ and $\mathbb Z_{mn}$
111347
Finding an example of field extensions satisfying certain properties
108955
Showing $(\mathbb{Q},+)$ is not isomorphic to $(\mathbb{R},+)$
73662
Example of non-flat modules
67796
How to prove that the algebra $k[x, xy, xy^2, xy^3, \dotsc]$ is not finitely generated?
15128
Example of non-decomposable ideal
89749
Example of a not recursively enumerable set $A \subseteq \mathbb{N}$
34798
Example of element of double dual that is not an evaluation map
104562
Prove that $\mathbb{Z}$ is not isomorphic to additive group of any vector space over any field.
6646
A (non-artificial) example of a ring without maximal ideals
31142
Why does $K \leadsto K(X)$ preserve the degree of field extensions?
883
$K(u,v)$ is a simple extension of fields if $u$ is separable
134458
Isomorphisms preserving integral domains and fields
81844
How would you show that field automorphisms fix prime subfields?
48962
Show the two fields are not isomorphic