Prove that field of complex numbers cannot be equipped with an order relation
40041
Proof of Non-Ordering of Complex Field
106737
A problem on field extension
142488
Galois Basic Question (Cyclic Order 4 Extension of Q cannot contain i)
44502
An irreducible polynomial cannot share a root with a polynomial without dividing it
34740
Do finite algebraically closed fields exist?
4103
Total ordering on complex numbers
147952
Why can we prove mathematically that a formula to solve an (n+5) order polynomial does not exist?
103695
Prove Inverses not need be Unique if Associativity fails
123419
Abstract algebra: homomorphism and an element of a prime order
31432
Total order on complex numbers
58009
How to show that $\mathbb Q(\sqrt 2)$ is not field isomorphic to $\mathbb Q(\sqrt 3).$
69523
Prove that polynomial of degree $4$ with real roots cannot have $\pm 1$ as coefficients (IITJEE)
148192
In a field that is the direct product of two fields, why isn't it a field?
85032
$Q(\mathbb{Z}[t]) / \mathbb{Z}[t]$ is not injective
111976
Prove that a product of two complex numbers has zero imaginary part
155125
Every ordered field has a subfield isomorphic to $\mathbb Q$?
127002
Prove that for a nonzero element $a$ of a field $F$ with $q$ elements $a^{-1} = a^{q-2}$