About free modules and finitely generated modules
73825
Every $R$-module is a quotient of a free module
38028
finitely generated k-algebra and polynomial ring
70658
Isomorphism between quotient modules
158062
Sum of free submodules of a module over a PID
147157
Modules over commutative rings
57309
Show that the free group on $n$ generators is a finite index subgroup of $F_2$
74974
When $\operatorname{Hom}_{R}(M,N)$ is finitely generated as $\mathbb Z$-module or $R$-module?
116955
Showing the existence of a certain kind of extension of a finitely generated algebra
114773
counterexamples on modules
45576
A surjective homomorphism between finite free modules of the same rank
69398
Rank-nullity theorem for free $\mathbb Z$-modules
130186
Zero module of differentials implies finite extension?
14259
If M+N and M$\cap$N are finitely generated modules, so are M and N.
128489
Linearly independent elements are less than generators in a module.
2719
Why isn't an infinite direct product of copies of $\Bbb Z$ a free module?
95942
$k[x]/(x^n)$ module with finite free resolution is free
17978
Isomorphism classes of $\mathbb{Z}[i]$ modules.