$R$-module $M$ which is artinian, but not noetherian
46258
Example of Artinian module that is not Noetherian
145722
Prove there is a bijection between the set of $R[x]$-module structures on $M$ and $\mathrm{End}_{R-\mathsf{Mod}}(M)$.
83812
Artinian ring and faithful module of finite length
76749
Example of a finite non-commutative ring without a unity
144122
A problem about an $R$-module that is both injective and projective.
102072
Simple $M_n(D)$-module with $D$ a division ring
44396
Noetherian Ring under a Homomorphism / homomorphic function / map
80211
Annihilator of quotient module M/IM
76047
Annihilators of elements of a finitely generated faithful module over a noetherian reduced ring
80302
A module $M$ whose submodules and factor modules are semisimple but not semisimple itself
7870
For $M\otimes_R N$, why is it so imperative that $M$ be a right $R$-module and $N$ a left $R$-module?
126472
Surjective endomorphisms of uniserial modules
76501
How can we show that $\mathbb Q$ is not a free $\mathbb Z$-module?
12474
Does an injective endomorphism of a finitely-generated free R-module have nonzero determinant?
121008
A non-noetherian ring with all localizations noetherian
158311
What is the dimension of $R[[X]]$ where $R$ is a Noetherian ring?
134991
Commutative non Noetherian rings in which all maximal ideals are finitely generated