Is $\mathbb Z[1/2]$ a finitely generated $\mathbb Z$-module?
75970
$\mathbb Z[1/2]$ is not finitely generated?
153622
Are intermediate rings of finitely generated ring extensions also finitely generated?
93029
Prove that when $d$ is in $\mathbb{Q} \setminus\mathbb{Z}$, $\mathbb{Z}[\sqrt{d}]$ is not a finitely generated abelian group.
124864
A not free $\mathbb{Z}$-module
133636
Is $\mathbb Z[X]/(X^2-1)$ a domain?
109610
Is $\mathbb{R}[X]/(P)$ isomorphic to $\mathbb C$ for every irreducible polynomial $P$ of degree $2?$
26749
$\mathbb{Z}[X]/(X^2-1)$ is not isomorphic with $\mathbb{Z}\times \mathbb{Z}$
118073
Is the ring $m\mathbb{Z}$ isomorphic to the ring $n\mathbb{Z}$?
63478
Is $\mathbb{Q}(\sqrt{2}) \cong \mathbb{Q}(\sqrt{3})$?
136804
Computing $\mathrm{Hom}(\mathbb Z_n,\mathbb Z_m)$ as $\mathbb Z$-module
8417
Natural $(R/I)$-module structure for an $R$-module $M$ annihilated by $I$
154847
homomorphism from $S_3$ to $\mathbb Z/3\mathbb Z$
128732
$\mathbb Z_{p^n}$ is not the direct product of any family of its proper subgroups
117211
Infinite linear independent family in a finitely generated $A$-module
148550
Units in quotient ring of $\mathbb Z[X]$
4790
Generators of a finitely generated free module over a commutative ring
86807
The units of $\mathbb Z[\sqrt{2}]$