Any field that contains the integers contains the rationals as a subfield
136770
Any field that contains the integers contains the rationals as a subfield (Analysis proof)
98803
Square roots of integers and cyclotomic fields
92677
Infinite algebraic extension of a finite field
156006
Cardinality of set containing all infinite subsets of $\mathbb{Q}$
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
99516
Show $\mathbb{Q}[\sqrt[3]{2}]$ is a field by rationalizing
82328
Constructing a Galois extension field with Galois group $S_n$
74663
Is $\mathbb{R}$ an algebraic extension of some proper subfield?
155125
Every ordered field has a subfield isomorphic to $\mathbb Q$?
134896
Enlightening proof that the algebraic numbers form a field
151978
Splitting field of x^3-2 as a simple extension
4401
Constructive proof that algebraic numbers form a field
6869
The square roots of different primes are linearly independent over the field of rationals
9520
Subfields of $\Bbb Q(\zeta_8)$
112909
is a number field by definition a subfield of $ \mathbb C $?
151018
Proving that any finite integral domain is a field.
37219
Quadratic Integers in $\mathbb Q[\sqrt{-5}]$