Prove that there are infinite number of intermediate fields
140540
Infinite number of intermediate fields between K(u,v) and K
121823
Number of subrings of a Field
34740
Do finite algebraically closed fields exist?
136770
Any field that contains the integers contains the rationals as a subfield (Analysis proof)
46648
How to prove the existence of a splitting field?
148118
Prove that field of complex numbers cannot be equipped with an order relation
102583
Infinite number of rationals between any two reals.
102113
Proof that the number of proofs is countably infinite
62687
Proving Cardinality of Cosets in Abstract Algebra
86626
Finite fields, existence of field of order $p^n$,proof help
47247
How do we prove the existence of uncountably many transcendental numbers?
79226
Discrete non archimedean valued field with infinite residue field
151467
An infinite generating set of a finite dimensional vector space contains a basis
94575
Inductive proof that there are infinitely many pairs of consecutive powerful integers?
151732
Number of solutions of polynomials in a field
52429
Explicit countable elementary extension of $\mathbb{N}$
3711
Finding the intermediate fields of $\Bbb{Q}(\zeta_7)$.