Modules over $\mathbb{Z}$
141548
Determinant of base change matrix is the index
74974
When $\operatorname{Hom}_{R}(M,N)$ is finitely generated as $\mathbb Z$-module or $R$-module?
121246
Projective modules and $\hom(P,\cdot)$
69398
Rank-nullity theorem for free $\mathbb Z$-modules
47086
Quotient rings and free modules
59687
Suppose $M$ is a finitely generated module over $R$ where $R$ is a Noetherian ring. Prove that $M$ is a noetherian module.
5699
The number of ring homomorphisms from $\mathbb{Z}_m$ to $\mathbb{Z}_n$
73825
Every $R$-module is a quotient of a free module
9129
Show that $\mathbb{Q}(\zeta_n)$ is Galois over $\mathbb{Q}$ and $Gal(\mathbb{Q}(\zeta_n)/\mathbb{Q}))\cong \mathbb{Z_n}^*$
4790
Generators of a finitely generated free module over a commutative ring
79591
Exact Sequences of Modules and Rank
37479
Proper submodules of Noetherian modules are intersections of indecomposable modules
104486
Ideal in $\mathbb Z[x]$ which is not two-generated
151993
Ring homomorphisms $\mathbb Z[x]\rightarrow \mathbb Q$
126472
Surjective endomorphisms of uniserial modules
99423
Is it true every ideal of $\mathbb{Z}[x]$ is finitely generated?
120594
$\mathbb Z[i]/ \langle 1+2i \rangle \cong \mathbb Z_5$