Understanding simple transcendental field extensions
41505
Transcendental Extensions. $F(\alpha)$ isomorphic to $F(x)$
74681
A finite extension with finitely many intermediate fields is simple
109801
multiplicative group of infinite fields
20218
Is this field extension finite?
29505
Why treat complex scalar field and its complex conjugate as two different fields?
146617
A complete picture of the lattice of subfields for a cyclotomic extension over $\mathbb{Q}$.
114152
Intermediate fields between $\mathbb{Z}_2 (\sqrt{x},\sqrt{y})$ and $\mathbb{Z}_2 (x,y)$
139499
The algebraic closure of a finite field and its Galois group
82328
Constructing a Galois extension field with Galois group $S_n$
113708
Correspondence between Ext group and extensions (from Weibel's book)
24247
Ring Inside an Algebraic Field Extension
138298
Learning about Grothendieck's Galois Theory.
17
First Order Language for vector spaces over fields
17276
Number of points in the fibre and the degree of field extension
134896
Enlightening proof that the algebraic numbers form a field
157074
The elements in the composite field $FK$
92677
Infinite algebraic extension of a finite field