why algebraic numbers form a field?
124511
The set of algebraic numbers is a field.
99788
Why does a multiplicative subgroup of a field have to be cyclic?
158590
Why is it that if $[L:K]$ is finite, then $[L:K]$ is algebraic?
16163
Show $\mathbb{Q}(\sqrt{2},\sqrt{3})$ is a simple extension field of $\mathbb{Q}$.
60614
Why is it that Complex Numbers are algebraically closed?
47041
What are the conditions for integers $D_1$ and $D_2$ so that $\mathbb{Q}[\sqrt {D_1}] \simeq \mathbb{Q}[\sqrt {D_2}]$ as fields.
41420
Why are "algebras" called algebras?
38817
Why is the ring of matrices over a field simple?
112909
is a number field by definition a subfield of $ \mathbb C $?
29505
Why treat complex scalar field and its complex conjugate as two different fields?
91330
Etymology of "vector field" vs "algebraic field" -- are they related?
57084
Characteristic of the following field?
138911
Is $\mathbb R^2$ a field?
77862
Question about fields and quotients of polynomial rings
143219
If a field $F$ is an algebraic extension of a field $K$ then $(F:K)=(F(x):K(x))$
4401
Constructive proof that algebraic numbers form a field
24247
Ring Inside an Algebraic Field Extension