If Tensor Product of Two Finitely Generated Modules Over a Local Ring is Zero then one of the Modules is Zero
17304
Tensor product of two finitely-generated modules over a local ring is zero
145722
Prove there is a bijection between the set of $R[x]$-module structures on $M$ and $\mathrm{End}_{R-\mathsf{Mod}}(M)$.
37570
$M + N$ and $M \cap N$ are finitely generated $A$-modules implies $M$ and $N$ finitely generated using exact sequences
108601
Show structure of a commutative ring in a tensor product
50114
A question about direct sums and products of modules
130186
Zero module of differentials implies finite extension?
69141
Is every Noetherian module finitely generated?
116955
Showing the existence of a certain kind of extension of a finitely generated algebra
63541
Projective and injective modules; direct sums and products
69398
Rank-nullity theorem for free $\mathbb Z$-modules
41629
Structure of ideals in the product of two rings
101473
Tensor product of a sheaf of module and a residue field
152730
Example of a finitely generated faithful torsion module over a commutative ring
124864
A not free $\mathbb{Z}$-module
63568
Ring with finitely many zerodivisors
139828
Finitely Presented Modules and Exact Sequences
19838
Prove that in general the set of the right zero divisors is different from the set of left zero divisors in a ring R