Can someone give an example of an ideal $I \subset R= \Bbb{Z}[x_1,...x_n]$ with $R /I \cong \Bbb{Q}$?
29635
Fields finitely generated as $\mathbb Z$-algebras are finite?
40705
If $M$ is an $R$-module and $I\subseteq\mathrm{Ann}(M)$ an ideal, then $M$ has a structure of $R/I$-module
36631
Is $[0,1] \cap \Bbb Q$ a compact subset of $\Bbb Q$?
60391
Ideal Generated by Three Elements in Polynomial Ring
90314
Maximal ideals in $R[x]$
109691
When are kernels of homomorphisms on $\mathbb{Z}[x]$ principal ideals, and what does this have to do with Gauss's lemma?
148208
In Noetherian ring $R$, ideal $I\subset R$, $P\in\mathrm{Ass}(I),P=I:a$ for some $a\in R$.
33576
Non-principal ideal in $K[x,y]$?
34183
An equivalent condition with $\{0\}$ being the only nilpotent ideal
144250
subideals of an ideal
81982
Is $\mathbb{Z}[x]$ a principal ideal domain?
115920
Showing $R$ is a local ring if and only if all elements of $R$ that are not units form an ideal
127030
Simple example of non-arithmetic ring (non-distributive ideal lattice)
124646
Understanding the ideal $IJ$ in $R$
47134
Ideals generated by two elements
129302
Proving whether ideals are prime in $\mathbb{Z}[\sqrt{-5}]$
19230
Prime/Maximal Ideals in $\mathbb{Z}[\sqrt d]$