Redefining multiplication so that $\mathbb{Z}$ is a field?
64079
Is it possible to make integers a field?
103654
A finite field extension that is not simple
101164
Show that $B \cong \mathbb Z /2\mathbb Z$ for a Boolean field B
80879
Can a quotient field ever be finitely generated as an algebra?
29030
Vector space with new scalar multiplication defined over finite field still vector space?
74663
Is $\mathbb{R}$ an algebraic extension of some proper subfield?
142707
Intermediate fields of a finite field extension that is not separable
136804
Computing $\mathrm{Hom}(\mathbb Z_n,\mathbb Z_m)$ as $\mathbb Z$-module
135611
Extensions of $\mathbb{Z}$ by $\mathbb{Z}$
39231
Construct a bijection between $\mathbb{Z}^+\times \mathbb{Z}^+$ and $\mathbb{Z}^+$
46565
Show that $\mathbb{Q}(\sqrt{2})$ is a field.
111347
Finding an example of field extensions satisfying certain properties
157031
Express $x^8-x$ as a product of irreducibles in $\Bbb Z_2[x]$
92677
Infinite algebraic extension of a finite field
154318
Can a field be isomorphic to its subfield?
5893
On the commutative property of multiplication (domain of integers, possibly reals)
25793
Extension fields isomorphic to fields of matrices