Hopfian module over commutative ring
9562
Proving that surjective endomorphisms of Noetherian modules are isomorphisms and a semi-simple and noetherian module is artinian.
17304
Tensor product of two finitely-generated modules over a local ring is zero
36987
A criterion of flat modules
83812
Artinian ring and faithful module of finite length
88307
Commutative property of ring addition
22529
The support of a non finitely generated module
42552
Localisation is isomorphic to a quotient of polynomial ring
99707
free module implies surjective map of affine schemes
144122
A problem about an $R$-module that is both injective and projective.
12474
Does an injective endomorphism of a finitely-generated free R-module have nonzero determinant?
74974
When $\operatorname{Hom}_{R}(M,N)$ is finitely generated as $\mathbb Z$-module or $R$-module?
135699
Questions about a commutative ring with exactly three ideals
30327
$\ker \phi = (x_1-a_1, ..., x_n-a_n)$ for a ring homomorphism $\phi: R[x_1, ..., x_n] \to R$
129184
Krull dimension of this local ring
74445
Noetherian and Artinian modules
142699
Is $R/N(R)$ a faithfully flat $R$-module?
17978
Isomorphism classes of $\mathbb{Z}[i]$ modules.