$R[X]$ noetherian with $R$ non noetherian
100257
Converse to Hilbert basis theorem
85633
Rings of polynomials whose (partial) derivatives vanish are Noetherian?
39049
Ring With Unity As a Direct Sum of Non-Zero Ideals
79897
if R is a commutative ring in which all the prime ideals are finitely generated then R is Noetherian
133975
Localising a polynomial ring and non-maximal prime ideal
76047
Annihilators of elements of a finitely generated faithful module over a noetherian reduced ring
77453
A zero-dimensional ring is Noetherian?
84663
$A$ local Noetherian ring with principal maximal ideal implies PIR?
55902
Show $R[x]/(x)\cong R$
130367
Proof that $K\otimes_F L$ is not noetherian
148208
In Noetherian ring $R$, ideal $I\subset R$, $P\in\mathrm{Ass}(I),P=I:a$ for some $a\in R$.
70576
Elementary proof that $\mathbb{R}^n$ is not homeomorphic to $\mathbb{R}^m$
142699
Is $R/N(R)$ a faithfully flat $R$-module?
69141
Is every Noetherian module finitely generated?
130004
Jacobson radical equal to nilradical in $R[X]$
140883
If $R$ is a local ring, is $R[[x]]$ (the ring of formal power series) also a local ring?
74445
Noetherian and Artinian modules