Field extension and its inverse elements
78561
Algebraic field extensions: Why $k(\alpha)=k[\alpha]$.
116955
Showing the existence of a certain kind of extension of a finitely generated algebra
158525
Given a field, the field of algebraic elements over it in an algebraically closed field extension is again algebraically closed?
41815
Galois extension of intersection of fields
76327
Finding inverse of polynomial in a field
83586
Finite fields and primitive elements
101098
Field extensions with(out) a common extension
72077
''Linear'' transformations between vector spaces over different fields .
126127
A field extension of prime degree
1060
Minimal polynomial of intermediate extensions under Galois extensions.
7567
Degree of Field Extensions and $F(\alpha)$
25793
Extension fields isomorphic to fields of matrices
82328
Constructing a Galois extension field with Galois group $S_n$
31142
Why does $K \leadsto K(X)$ preserve the degree of field extensions?
118610
Are all extensions of finite fields cyclic?
144394
Order 2 elements in finite characteristic field
19511
Is the sub-field of algebraic elements of a field extension of $K$ containing roots of polynomials over $K$ algebraically closed?