All simple modules are projective $\Rightarrow$ semisimple
58028
Semisimplicity is equivalent to each simple left module is projective?
95942
$k[x]/(x^n)$ module with finite free resolution is free
70658
Isomorphism between quotient modules
80302
A module $M$ whose submodules and factor modules are semisimple but not semisimple itself
48519
Symmetric powers of modules
126472
Surjective endomorphisms of uniserial modules
101860
Relating the normal bundle and trivial bundles of $S^n$ to the tautological and trivial line bundles of $\mathbb{R}P^n$
73825
Every $R$-module is a quotient of a free module
102938
$\Bbb F_2[X]$ modules with 8 elements
42552
Localisation is isomorphic to a quotient of polynomial ring
21466
$P$ is projective . Show that $P$ is a direct summand of a free $R-$ module
47086
Quotient rings and free modules
13764
Homomorphisms from $\mathbb{Z} \rightarrow S_3$.
128701
Are $\mathbb{Q}$ or $\mathbb{Z}$ flat modules?
33423
Decomposition of semisimple Lie algebra via its roots
147399
Proof of "$L$ / Rad$L$ is semisimple for arbitrary Lie algebra L".
28688
why is a simple ring not semisimple?