Module over a ring satisfying ACC
59687
Suppose $M$ is a finitely generated module over $R$ where $R$ is a Noetherian ring. Prove that $M$ is a noetherian module.
108896
Prime ideal in a polynomial ring over an integrally closed domain
113512
Characteristic of nonzero commutative rings with unity
118781
product of ideals in matrix ring
16643
A slick proof that a field which is finitely generated as a ring is finite
8417
Natural $(R/I)$-module structure for an $R$-module $M$ annihilated by $I$
4790
Generators of a finitely generated free module over a commutative ring
80302
A module $M$ whose submodules and factor modules are semisimple but not semisimple itself
33611
necessary and sufficient condition for trivial kernel of a matrix over a commutative ring
131143
Homomorphism extensions over finite ring extensions
54916
Maximal ideal in commutative ring
157863
A finite pseudo-ring such that $ab^2=b$ for some $(a,b)\in A$
46843
A ring without the Invariant Basis Number property
98818
Quotient ring of a localization of a ring
95942
$k[x]/(x^n)$ module with finite free resolution is free
17978
Isomorphism classes of $\mathbb{Z}[i]$ modules.
26368
Finitely generated graded modules over $K[x]$