Is the kernel of a map from a $\mathbb{Z}$-free module to an abelian group $\mathbb{Z}$-free?
34065
Submodule of free module over a p.i.d. is free even when the module is not finitely generated?
141802
Prove that free modules are projective
143429
Kernel of ring homomorphism $k[X,Y] \rightarrow k[t^2, t^3]$
92493
If $G$ is non-abelian, then $Inn(G)$ is not a normal subgroup of the group of all bijective mappings $G \to G$
50037
Proving that kernels of evaluation maps are generated by the $x_i - a_i$
4790
Generators of a finitely generated free module over a commutative ring
135241
Show that $\mathbb{Z}/n^2\mathbb{Z}$ is not isomorphic to other group
22529
The support of a non finitely generated module
74974
When $\operatorname{Hom}_{R}(M,N)$ is finitely generated as $\mathbb Z$-module or $R$-module?
5577
If $m$ divides $n$, find a free resolution of $\mathbb{Z}/m$ as a $\mathbb{Z}/n$-module.
145758
Are submodules of finitely generated free modules always free?
17978
Isomorphism classes of $\mathbb{Z}[i]$ modules.
120097
Reference Request: Abelianization of free product is the direct sum of abelianizations
76501
How can we show that $\mathbb Q$ is not a free $\mathbb Z$-module?
34234
Kernel of injective group homomorphism
97009
Image of ring homomorphism $\phi : \mathbb{Z}[t] \to \mathbb{Q}$?
2153
How to get a homomorphism from $\mathbb{Z}\to G$, for $G$ a non-trivial group?