An exercise about fields extensions
38489
Degree of the extension $\mathbb{Q}(\sqrt{a+\sqrt{b}})$ over $\mathbb{Q}$
74681
A finite extension with finitely many intermediate fields is simple
100162
Minimal polynomial over an extension field divides the minimal polynomial over the base field
72077
''Linear'' transformations between vector spaces over different fields .
68065
Quadratic extensions in characteristic $2$
101098
Field extensions with(out) a common extension
144245
Shorter proof of $R/I$ is a field if and only if $I$ is maximal
24168
A characterisation of quadratic extensions contained in cyclic extensions of degree 4
73669
Totally real Galois extension of given degree
157074
The elements in the composite field $FK$
150170
Subrings of fraction fields
1060
Minimal polynomial of intermediate extensions under Galois extensions.
115129
Constructing an explicit isomorphism between finite extensions of finite fields
28313
Intermediate ring between a field and an algebraic extension.
134896
Enlightening proof that the algebraic numbers form a field
127330
Exercises on Galois Theory
153589
Integral basis of an extension of number fields