Simplest example of a free module that has bases of different sizes
44983
Isomorphism of R-modules
22529
The support of a non finitely generated module
153589
Integral basis of an extension of number fields
45576
A surjective homomorphism between finite free modules of the same rank
102072
Simple $M_n(D)$-module with $D$ a division ring
99707
free module implies surjective map of affine schemes
75641
Is there a (f.g., free) module isomorphic to a quotient of itself?
117211
Infinite linear independent family in a finitely generated $A$-module
5577
If $m$ divides $n$, find a free resolution of $\mathbb{Z}/m$ as a $\mathbb{Z}/n$-module.
70658
Isomorphism between quotient modules
47086
Quotient rings and free modules
146715
A square matrix has the same minimal polynomial over its base field as it has over an extension field
152721
Help showing $H_n=\sum_{h \in H}h \in F[H]$ is a simple submodule
6646
A (non-artificial) example of a ring without maximal ideals
140314
A module as an external direct product of the kernel and image of an idempotent function
136422
Two finite fields with the same number of elements are isomorphic
25764
Example of a ring such that $R^2\simeq R^3$, but $R\not\simeq R^2$ (as $R$-modules)