How to prove A is a flat R-module
36987
A criterion of flat modules
117211
Infinite linear independent family in a finitely generated $A$-module
39755
In a faithfully flat ring extension, is $\operatorname{ht}I=\operatorname{ht}IS$ right?
70576
Elementary proof that $\mathbb{R}^n$ is not homeomorphic to $\mathbb{R}^m$
140340
Left and right R-modules
22529
The support of a non finitely generated module
43990
R is a commutative ring with $1\ne 0$ and $R^m \cong R^n$, then $m=n$
118898
Is there a simple way of proving that $\text{GL}_n(R) \not\cong \text{GL}_m(R)$?
4652
Is $V$ a simple $\text{End}_kV$-module?
11259
Prove $R\times S$ is not an integral domain
8417
Natural $(R/I)$-module structure for an $R$-module $M$ annihilated by $I$
102072
Simple $M_n(D)$-module with $D$ a division ring
152721
Help showing $H_n=\sum_{h \in H}h \in F[H]$ is a simple submodule
76501
How can we show that $\mathbb Q$ is not a free $\mathbb Z$-module?
67633
Generic flatness on modules
19112
Ring $R= \mathbb Z_3[x]/\langle x^6-1\rangle$
83812
Artinian ring and faithful module of finite length