Proof that an automorphism of an extension field of $\mathbb Q$ fixes rationals
126513
Automorphism of the group of rational numbers under addition
61429
Is the algebraic closure of a $p$-adic field complete
34998
How to prove that $\mathbb{Q}$ ( the rationals) is a countable set
83595
Proving that $\mathbb{A}=\{\alpha \in \mathbb{C}: \alpha \text{ is algebraic over } \mathbb{Q} \}$ is not a finite extension
115129
Constructing an explicit isomorphism between finite extensions of finite fields
85586
Proving $\mathbb{Q}$ isn't homeomorphic to $\mathbb{Z}$
82576
Intersection of two subfields of the Rational Function Field in characteristic $0$
104634
Galois extension is (not) transitive
34670
What exactly is the fixed field of the map $t\mapsto t+1$ in $k(t)$?
100162
Minimal polynomial over an extension field divides the minimal polynomial over the base field
91622
Help with proof that $\mathbb Z[i]/\langle 1 - i \rangle$ is a field.
76501
How can we show that $\mathbb Q$ is not a free $\mathbb Z$-module?
143831
Showing $\mathbb{Q}$ is homeomorphic to $\mathbb{Q}^2$
78561
Algebraic field extensions: Why $k(\alpha)=k[\alpha]$.
38489
Degree of the extension $\mathbb{Q}(\sqrt{a+\sqrt{b}})$ over $\mathbb{Q}$
81844
How would you show that field automorphisms fix prime subfields?
57283
Extending Homomorphism into Algebraically Closed Field