If $R$ is a reduced Noetherian ring and $U \subset R$ is a multiplicatively closed set, how do we get $K(R[U^{-1}]) = K(R)[U^{-1}]$?
38571
Localization of a total quotient ring of a reduced ring
7645
Noetherian property for exact sequence
85633
Rings of polynomials whose (partial) derivatives vanish are Noetherian?
136654
$(x_1-a_1, x_2-a_2)$ is a maximal ideal of $K[x_1,x_2]$
119067
Basic Ring Theory Question involving the unit element
23521
Power Set of $X$ is a Ring with Symmetric Difference, and Intersection
149820
How do you prove the set $G = \{(x, f(x)) \mid x \in \mathbb R\}$ is closed?
156457
Show that $K[x,xy,xy^2,\dots]$ is not Noetherian
77453
A zero-dimensional ring is Noetherian?
74314
Noetherian ring and the same prime divisors
46717
If $M$ is a Noetherian $R$-module, then $R/\text{Ann}(M)$ is a Noetherian ring
143884
A non-noetherian ring with noetherian spectrum
84663
$A$ local Noetherian ring with principal maximal ideal implies PIR?
19838
Prove that in general the set of the right zero divisors is different from the set of left zero divisors in a ring R
76047
Annihilators of elements of a finitely generated faithful module over a noetherian reduced ring
8417
Natural $(R/I)$-module structure for an $R$-module $M$ annihilated by $I$
27823
Is the global section ring of a Noetherian Scheme Noetherian as well?