prime ideals of $\mathbb{R}[X,Y]/(X-Y^2,X+Y)$
35777
$\mathbb{R}[X,Y]/(Y-X^2,Y+X)\cong_\text{Ring} \mathbb{R}\times \mathbb{R}$
97740
Homogeneous ideals are contained in homogeneous prime ideals
93641
A maximal ideal among those avoiding a multiplicative set is prime
60391
Ideal Generated by Three Elements in Polynomial Ring
137858
Showing that $\mathbb{Z}[i]/I$ is a finite field whenever $I$ is a prime ideal, and also finding its cardinality?
104789
How to tell an ideal of integer polynomial ring is principal?
103518
If $J$ is the ideal generated by all idempotents in a prime ideal, then $R/J$ has only trivial idempotents
81743
Prime ideals in $C[0,1]$
108767
Irreducible Components of the Prime Spectrum of a Quotient Ring and Primary Decomposition
108380
Assume $P$ is a prime ideal s.t. $K \subset P$, show $f(P)$ is a prime ideal
122012
The ideal $(x,y)$ is not a free $K[x,y]$-module
129371
Maximal ideals in the ring of real functions on $[0,1]$
33576
Non-principal ideal in $K[x,y]$?
44083
prove that maximal ideal in $\mathbb{Z}$ generated by a prime number
19230
Prime/Maximal Ideals in $\mathbb{Z}[\sqrt d]$
100961
Ideals in valuation rings
50412
Prime elements in $\mathbb{Z}/n\mathbb{Z}$