How to prove that algebraic numbers form a field?
134896
Enlightening proof that the algebraic numbers form a field
73688
Can I use Gödel numbers to make a proof?
39514
how do I prove that $1 > 0$ in an ordered field?
70129
Prove that in an ordered field $(1+x)^n \ge 1 + nx + \frac{n(n-1)}{2}x^2$ for $x \ge 0$
151011
Fields - Proof that every multiple of zero equals zero
1487
How do I prove that $x^p-x+a$ is irreducible in a field with $p$ elements when $a\neq 0$?
127002
Prove that for a nonzero element $a$ of a field $F$ with $q$ elements $a^{-1} = a^{q-2}$
60212
algebraic element over a field
19525
Showing field extension $\mathbb{Q}(\sqrt{2}, \sqrt{3}, \sqrt{5})/\mathbb{Q}$ degree 8
86626
Finite fields, existence of field of order $p^n$,proof help
10111
Prove or disprove that Q[√2] is a field
61428
Show that an algebraically closed field must be infinite.
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.
30478
How to prove that a number is irrational
122415
How to show every field is a Euclidean Domain.
16643
A slick proof that a field which is finitely generated as a ring is finite
148310
Showing rational numbers are algebraic