Can we turn $\mathbb N_0$ or $\mathbb Z$ into a field?
64079
Is it possible to make integers a field?
64419
How to construct a homomorphism from an abelian group to $\mathbb{Q}/\mathbb{Z}$?
16507
Is $\mathbb{Z}= \{\dots -3, -2, -1, 0 ,1 ,2 , 3, \dots \}$ countable?
97009
Image of ring homomorphism $\phi : \mathbb{Z}[t] \to \mathbb{Q}$?
143069
What are the direct summands in $\mathbb{Z}^n$?
145140
Subfield of $\mathbb{Q}(\sqrt[n]{a})$
97878
Are there uncountably many surjections from $\mathbb N$ to $\mathbb N$?
79725
Fields of arbitrary cardinality
93681
Integral closure of $\mathbb{Z}$ in $\mathbb{C}$ is not finitely generated as a $\mathbb{Z}$-module?
138258
What is the injective envelope of $\mathbb{Z}/n\mathbb{Z}$?
78412
Representing a countable field by $\Bbb N$ [transport of algebraic structure]
51695
Finding all homomorphisms between $\mathbb{Z}/m\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$
141843
n-dimensional vector space isomorphic to the n-th product of a field as abelian groups
128732
$\mathbb Z_{p^n}$ is not the direct product of any family of its proper subgroups
77620
Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $
29626
Is there a proper subfield $K\subset \mathbb R$ such that $[\mathbb R:K]$ is finite?
125568
Construction of $p^n$ field