Extending a map $\langle a \rangle \to \mathbb{Q}/\mathbb{Z}$ to $A \to \mathbb{Q}/\mathbb{Z}$ for $A$ an abelian group
64419
How to construct a homomorphism from an abelian group to $\mathbb{Q}/\mathbb{Z}$?
11938
What happens if we remove the requirement that $\langle R, + \rangle$ is abelian from the definition of a ring?
150199
How to prove for a finite group that $|\langle g \rangle|=o(g)$?
5906
All group homomorphism from $ \mathbb{Z} _m $ to $\mathbb{Z}_n $
26661
Ring homomorphisms from $\mathbb{Z}_n$ to $\mathbb{Z}_m$
125894
Prove that $\mathbb{Q}$ belongs to the Borel $\sigma$-algebra of $\mathbb{R}$
142851
Every group homomorphism from $(\mathbb{Q}, +)$ to $(\mathbb{Q}, \times)$ is the trivial map.
135611
Extensions of $\mathbb{Z}$ by $\mathbb{Z}$
82328
Constructing a Galois extension field with Galois group $S_n$
128710
Prove that $\langle a^n \rangle \bigcap \langle a^k \rangle = \langle a^{lcm (n,k)} \rangle$
143831
Showing $\mathbb{Q}$ is homeomorphic to $\mathbb{Q}^2$
27086
proof for $\langle q| p \rangle = e^{ipq}$
1720
Show that $\langle 2,x \rangle$ is not a principal ideal in $\mathbb Z [x]$
38489
Degree of the extension $\mathbb{Q}(\sqrt{a+\sqrt{b}})$ over $\mathbb{Q}$
67772
How to find $k$ such that $(\mathbb{Z} \times \mathbb{Z})/ \langle (m,n)\rangle \cong \mathbb{Z} \times \mathbb{Z}_k$
151354
Why are there no non-trivial regular maps $\mathbb{P}^n \to \mathbb{P}^m$ when $n > m$?
109596
Isomorphism from $\mathrm{Aut}(\mathbb{Z}/2\mathbb{Z}\times \mathbb{Z}/2\mathbb{Z})$ to $S_3$