Is $K = \bigcup\limits_{i:\text{even}} \mathbb{F_{2^i}}$ a field?
57084
Characteristic of the following field?
125568
Construction of $p^n$ field
63478
Is $\mathbb{Q}(\sqrt{2}) \cong \mathbb{Q}(\sqrt{3})$?
111444
Is any finite-dimensional extension of a field, say $F$, algebraic and finitely generated?
91622
Help with proof that $\mathbb Z[i]/\langle 1 - i \rangle$ is a field.
6827
To identify field $Z[i]/(3)$
56171
Is $K(X)$ never algebraically closed?
16643
A slick proof that a field which is finitely generated as a ring is finite
140540
Infinite number of intermediate fields between K(u,v) and K
17191
How to verify $H\otimes K \cong \bigoplus\limits_{i\in I}H$
109034
Does a finite $[E:K]_s$ imply that $[E_s:K]$ is finite?
95459
$\mathbb{Q}(\sqrt{2+\sqrt{2}})$ is Galois over $\mathbb{Q}$?
92677
Infinite algebraic extension of a finite field
131971
If $k>0$ is a positive integer and $p$ is any prime, when is $\mathbb Z_p[\sqrt{k}] =\{a + b\sqrt k~|~a,b \in\mathbb Z_p\}$ a field.
93328
$\mathbb{F}_p[X]/(X^2+X+1)$ is a field iff $p \equiv 2 \bmod 3$
112909
is a number field by definition a subfield of $ \mathbb C $?
32795
Proving $ \bigcup_{i=1}^n A_{i} \text{ is finite.} $ by Induction.