Is $\mathbb{Z}\oplus\mathbb{Z}$ cyclic?
112933
Show that $Z\times Z$ is not cyclic...
36142
What is $\mathbb Z \oplus \mathbb Z / \langle (2,2) \rangle$ isomorphic to?
93169
Show that $(\mathbb Z[x],+)$ and $(\mathbb Q_{>0},\cdot)$ are isomorphic groups
132386
Show that $(\mathbb{Q}^*,\cdot)$ and $(\mathbb{R}^*,\cdot)$ aren't cyclic
57887
When are the product of cyclic groups also cyclic?
124438
Find $|(\mathbb{Z} \oplus \mathbb{Z}) / \langle(3,6)\rangle|$ and determine if its cyclic
13761
Automorphisms in $\mathbb{Z}_n$
144105
Ring homomorphism from $\mathbb Z$ to $\mathbb Z$ is always identity or $0$
57310
Prove $\mathbb{Z}$ is not a vector space over a field
31216
Is the image of $\Phi_n(x) \in \mathbb{Z}[x]$ in $\mathbb{F}_q[x]$ still a cyclotomic polynomial?
157915
Isomorphism between the group $(\mathbb Z[x], +)$ and $(\mathbb Q_{>0}, .)$
48585
Proving that if $G/Z(G)$ is cyclic, then $G$ is abelian
16507
Is $\mathbb{Z}= \{\dots -3, -2, -1, 0 ,1 ,2 , 3, \dots \}$ countable?
90239
$\mathbb{Z} \times \mathbb{Z}$ is cyclic.
126590
Why is the multiplicative group of a finite field cyclic?
135441
When is $\mathbb{Z}[\alpha]$ dense in $\mathbb{C}$?
133019
Nilpotent elements in $\mathbb Z_n$