Dividing a ring by the annihilator of a Noetherian module yields a Noetherian ring
46717
If $M$ is a Noetherian $R$-module, then $R/\text{Ann}(M)$ is a Noetherian ring
70320
Let $R$ be a commutative Noetherian ring (with unity), and let $I$ be an ideal of $R$ such that $R/I \cong R$. Then is $I=(0)$?
79897
if R is a commutative ring in which all the prime ideals are finitely generated then R is Noetherian
51578
Noetherian ring with finitely many height $n$ primes
73235
Rings $R/I \cong h(R)/h(I)\,$ for injective ring hom $h$
108767
Irreducible Components of the Prime Spectrum of a Quotient Ring and Primary Decomposition
80211
Annihilator of quotient module M/IM
50828
Weil divisors on normal Noetherian schemes
120637
Is there a unique cyclic submodule for every factor dividing the order of a cyclic module?
24203
Finding Zero Divisors and Units of Rings $\mathbb{Z}_n \times \mathbb{Z}_m$
134991
Commutative non Noetherian rings in which all maximal ideals are finitely generated
94532
How to prove a commutative, with unit, Noetherian ring $A$ only has finitely many minimal prime ideals via the following step?
93670
A surjective endomorphism (of a Noetherian ring) is injective.
92420
Characteristic of  a Non-unital Integral Ring
77453
A zero-dimensional ring is Noetherian?
148208
In Noetherian ring $R$, ideal $I\subset R$, $P\in\mathrm{Ass}(I),P=I:a$ for some $a\in R$.
150986
For a Noetherian ring $R$, we have $\text{Ass}_R(S^{-1}M)=\text{Ass}_R(M)\cap \{P:P\cap S=\emptyset\}$