$R$ regarded as $R$-module
35745
Question about a submodule
70658
Isomorphism between quotient modules
25609
Multiplicity of G-module
99198
Principal ideal and free module
51898
Show that $\operatorname{Hom}_{R} (R,M) \cong M$
142699
Is $R/N(R)$ a faithfully flat $R$-module?
128493
Given a commutative ring $R$ and an epimorphism of free modules $R^m \to R^n$ is then $m \geq n$?
52992
Proving that P/PJ is a projective right module over R/J
32172
Homomorphisms of graded modules
66866
Algebraic dual of $\mathbb{R}^{\mathbb{N}}$
102282
Let $R$ be a PID, and let $\pi\in R$ be prime. Is it $R/\langle\pi\rangle \times R/\langle \pi\rangle$ a cyclic $R$-module?
36987
A criterion of flat modules
35777
$\mathbb{R}[X,Y]/(Y-X^2,Y+X)\cong_\text{Ring} \mathbb{R}\times \mathbb{R}$
140340
Left and right R-modules
30465
Determining which rings have a module which is not semisimple
145700
Module isomorphic to second dual
114773
counterexamples on modules