Subfield of $\mathbb R$ with algebraic closure as $\mathbb C$.
74663
Is $\mathbb{R}$ an algebraic extension of some proper subfield?
46565
Show that $\mathbb{Q}(\sqrt{2})$ is a field.
83009
Showing that $R(x)$ is a proper subset of $R((x))$ if $R$ is a field
78561
Algebraic field extensions: Why $k(\alpha)=k[\alpha]$.
115541
Subrings of polynomial rings over the complex plane
138911
Is $\mathbb R^2$ a field?
134896
Enlightening proof that the algebraic numbers form a field
44685
Inner product on $C(\mathbb R)$
84189
Is $\mathbb{C}$ equal to $\mathbb{R}^2$?
139499
The algebraic closure of a finite field and its Galois group
6855
Subfields of finite fields
29626
Is there a proper subfield $K\subset \mathbb R$ such that $[\mathbb R:K]$ is finite?
10477
Finding the closure of A=$\mathbb Q \cap [0,1]$.
145039
Algebraic independence over $\overline{\mathbb Q}$ and over $\mathbb Q$
146617
A complete picture of the lattice of subfields for a cyclotomic extension over $\mathbb{Q}$.
29452
Divisor in $\mathbb{C}[X]$ $\implies$ divisor in $\mathbb{R}[X]$?
34740
Do finite algebraically closed fields exist?