Converse Noetherian Relation
100257
Converse to Hilbert basis theorem
149753
The structure of a Noetherian ring in which every element is an idempotent.
15312
Show that $R \cap R^{−1}$ is an equivalence relation on $X$?
62917
Associated Prime Ideals in a Noetherian Ring; Exercise 6.4 in Matsumura
89167
Cardinality of equivalence relations in $\mathbb{N}$
55328
Let $σ$ be the relation on $R×R$ in which $(a,b) σ (x,y)$ if and only if $a ≤ x$ and $b ≤ y$. Prove that $σ$ is a partial order relation.
52354
Given a idempotent endomorphism, show that $M = \ker(f) \oplus \ker (f-\text{id}_M)$
71977
Give an example of a relation R on $A^2$ which is reflexive, symmetric, and not transitive
103349
A question about a proof of Noetherian modules and exact sequences
27823
Is the global section ring of a Noetherian Scheme Noetherian as well?
46717
If $M$ is a Noetherian $R$-module, then $R/\text{Ann}(M)$ is a Noetherian ring
98518
Cardinality of equivalence relations on N
156457
Show that $K[x,xy,xy^2,\dots]$ is not Noetherian
120496
Examples of Non-Noetherian Valuation Rings
20615
How many Nerode equivalence classes does the language $x\neq y$ have?
107002
Noetherian ring whose ideals have arbitrarily large number of generators
44396
Noetherian Ring under a Homomorphism / homomorphic function / map