Example of non-noetherian algebras which are tensor products of noetherian algebras
130367
Proof that $K\otimes_F L$ is not noetherian
142101
A direct product of projective modules which is not projective
77112
Artinian rings that are not Artin algebras
70712
How to prove that $k[x, xy, xy^2, \dotsc]$ is not noetherian?
25195
$2 \otimes_{R} 2 + x \otimes_{R} x$ is not a simple tensor in $I \otimes_R I$
85633
Rings of polynomials whose (partial) derivatives vanish are Noetherian?
110726
Example of a non-gcd domain
101095
Constructing an example s.t. $\operatorname{Hom}_R(M,N)$ is not finitely generated
55243
When is the ring of continuous functions Noetherian?
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
108601
Show structure of a commutative ring in a tensor product
29756
Classsifying 1- and 2- dimensional Algebras, up to Isomorphism
43987
Decomposition of the tensor product $\mathbb{Q}_p \otimes_{\mathbb{Q}} \mathbb{Q}[i]$ into a product of fields
61084
Examples of non-isomorphic fields with isomorphic group of units and additive group structure
28327
(Simple) Examples on Non-Commutative Rings
128861
If $M$ isn't Noetherian, $M$ has a submodule maximal with respect to being not finitely generated.