Flat Non Projective $A$-Module
70218
Flat not projective, projective not free
157236
Tensor product of modules.
52992
Proving that P/PJ is a projective right module over R/J
27735
Morphism to Projective Space $\mathbb{P}^m$
99198
Principal ideal and free module
151251
A simple algebra that is not semisimple
124864
A not free $\mathbb{Z}$-module
76501
How can we show that $\mathbb Q$ is not a free $\mathbb Z$-module?
8417
Natural $(R/I)$-module structure for an $R$-module $M$ annihilated by $I$
80679
Principal ideal rings that are not integral domains
32172
Homomorphisms of graded modules
92420
Characteristic of  a Non-unital Integral Ring
122189
Show that $M[x]$ is a Noetherian $A[x]$-module.
102938
$\Bbb F_2[X]$ modules with 8 elements
67633
Generic flatness on modules
77112
Artinian rings that are not Artin algebras
23735
Divisible module which is not injective