Proving a specific module is projective.
158583
Prove that if $M$ is an $R-$ projective left module then $M/IM$ is an $R/I-$ projective left module.
145161
Testing whether an element of a tensor product of modules is zero
129399
Maximum module principle
29231
Proof of : $x^{n}\equiv x^{\varphi(m)+[n \bmod \varphi(m)]} \mod m$
27096
Hilbert polynomial of an hypersurface in projective space
74445
Noetherian and Artinian modules
99198
Principal ideal and free module
58028
Semisimplicity is equivalent to each simple left module is projective?
72295
A difficulty in understanding the proof of distributivity of tensor products over direct sums for modules.
114640
Showing that an ideal is not a free $R-$module.
144122
A problem about an $R$-module that is both injective and projective.
26244
Pathologies in module theory
149275
Origin of the terminology projective module
114773
counterexamples on modules
124864
A not free $\mathbb{Z}$-module
37479
Proper submodules of Noetherian modules are intersections of indecomposable modules
67633
Generic flatness on modules