Is there a local ring but not Noetherian?
46303
Example of a non-Noetherian complete local ring
6646
A (non-artificial) example of a ring without maximal ideals
74314
Noetherian ring and the same prime divisors
150986
For a Noetherian ring $R$, we have $\text{Ass}_R(S^{-1}M)=\text{Ass}_R(M)\cap \{P:P\cap S=\emptyset\}$
29981
Why are Noetherian Rings important?
134991
Commutative non Noetherian rings in which all maximal ideals are finitely generated
74259
Why is the localization of a commutative Noetherian ring still Noetherian?
140883
If $R$ is a local ring, is $R[[x]]$ (the ring of formal power series) also a local ring?
148434
Ring where irreducibles are primes which is not an UFD
75558
Counter-example for prime ideals in a non commutative ring.
77112
Artinian rings that are not Artin algebras
111679
Example of a ring without unity that has a subring with unity?
127030
Simple example of non-arithmetic ring (non-distributive ideal lattice)
156457
Show that $K[x,xy,xy^2,\dots]$ is not Noetherian
28518
Hom of finitely generated modules over a noetherian ring
128861
If $M$ isn't Noetherian, $M$ has a submodule maximal with respect to being not finitely generated.
129025
Quotient ring local if Ring is local