Number of homomorphism between $(\mathbb{Q}^{+}, \cdot)$ and $(\mathbb{Z}_n, +)$
89415
Number of homomorphisms from $(\mathbb Q^+ , \,\cdot\,)$ to $(\mathbb Z_n , +)$
120035
Pattern in Isomorphisms between $\mathbb Z_m \times \mathbb Z_n$ and $\mathbb Z_{mn}$
55900
Is there a ring homomorphism $M_2(\mathbb Z)\to \mathbb Z$?
133612
How many isomorphisms are there from $\Bbb Z_{12}$ to $\Bbb Z_{4} \oplus \Bbb Z_{3}$?
2153
How to get a homomorphism from $\mathbb{Z}\to G$, for $G$ a non-trivial group?
144105
Ring homomorphism from $\mathbb Z$ to $\mathbb Z$ is always identity or $0$
39231
Construct a bijection between $\mathbb{Z}^+\times \mathbb{Z}^+$ and $\mathbb{Z}^+$
115973
Computing the number of nonisomorphic finite abelian groups of order $n$
96326
Number of $q$-th residues modulo $n$
83001
Easier way to show $(\mathbb{Z}/(n))[x]$ and $\mathbb{Z}[x] / (n)$ are isomorphic
32428
Group homomorphisms and which of the following statements are true (NBHM-$2014$)
9129
Show that $\mathbb{Q}(\zeta_n)$ is Galois over $\mathbb{Q}$ and $Gal(\mathbb{Q}(\zeta_n)/\mathbb{Q}))\cong \mathbb{Z_n}^*$
29545
$[(x-a_1)(x-a_2) \cdots (x-a_n)]^2 +1$ is irreducible over $\mathbb Q$
13717
Homomorphisms from $S_4$ to $\mathbb Z_2$
90433
Isomorphisms between $(\mathbb Z_4,+)$ and $(U_5,*)$
143451
Homomorphism from $(\Bbb Q,+)$ to a finite group
51695
Finding all homomorphisms between $\mathbb{Z}/m\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$