Simple module over matrix rings
102072
Simple $M_n(D)$-module with $D$ a division ring
140340
Left and right R-modules
83115
A set of elements in a reduced unity ring
15506
Annihilator of Simple Module
28518
Hom of finitely generated modules over a noetherian ring
69398
Rank-nullity theorem for free $\mathbb Z$-modules
6646
A (non-artificial) example of a ring without maximal ideals
102938
$\Bbb F_2[X]$ modules with 8 elements
114688
Show that a division ring is simple.
111786
for any ring $A$ the matrix ring $M_n(A)$ is simple if and only if $A$ is simple
17304
Tensor product of two finitely-generated modules over a local ring is zero
30465
Determining which rings have a module which is not semisimple
152721
Help showing $H_n=\sum_{h \in H}h \in F[H]$ is a simple submodule
77198
Showing that the characteristic of a commutative ring R without zero divisors is 0 or prime
151251
A simple algebra that is not semisimple
145700
Module isomorphic to second dual
118781
product of ideals in matrix ring