Dimensions of Field Extensions
27784
Proving that $\left(\mathbb Q[\sqrt p_1,\dots,\sqrt p_n]:\mathbb Q\right)=2^n$ for distinct primes $p_i$.
57515
Similar matrices and field extensions
24919
$\mathbb{Q}(\zeta_{10}) $ degree of field extension over $\mathbb{Q}$
71102
Subfields of $\mathbb{C}$ which are connected with induced topology
113708
Correspondence between Ext group and extensions (from Weibel's book)
56551
Multiplicative group of field extension over base field
57283
Extending Homomorphism into Algebraically Closed Field
79450
For field extensions $F\subsetneq K \subset F(x)$, $x$ is algebraic over $K$
59347
Do extension fields always belong to a bigger field?
100162
Minimal polynomial over an extension field divides the minimal polynomial over the base field
103948
Minimal polynomial is invariant under field extensions
67157
Example of an non-normal inseparable field extension
135611
Extensions of $\mathbb{Z}$ by $\mathbb{Z}$
44710
Vector space of real vectors over field complex scalars.
36997
Galois Groups of Finite Extensions of Fixed Fields
81550
Linking two theorems: on algebraic closure and on minimal splitting field
158525
Given a field, the field of algebraic elements over it in an algebraically closed field extension is again algebraically closed?