Prime ideals in $\mathbb{C}[x,y]$
138572
Is $(xy-1)$ a maximal ideal in $\mathbb C[x,y]$?
72230
Equivalence of definitions of prime ideal in commutative ring
120149
Is the complement of a prime ideal closed under both addition and multiplication?
41629
Structure of ideals in the product of two rings
37929
Classification of prime ideals of $\mathbb{Z}[X]$
67669
Prime ideals of a finite direct product ring
91180
Show $R \setminus S$ is a union of prime ideals
149747
Prove that if I is a prime ideal of R then I[x] is a prime ideal of R[x]
94157
Normal Ring and Prime Ideal whose Square is Principal
20296
The ideal $I= \langle x,y \rangle\subset k[x,y]$ is not principal
120181
The ideal generated by $2$ and $ x$ in $\mathbb{Z}[x]$
53469
C(0, 1) has infinitely many prime ideals not of the form Mp
85206
Verifying proof :an Ideal $P$ is prime Ideal if $R/P$ is an integral domain.
133975
Localising a polynomial ring and non-maximal prime ideal
56800
Intersection of prime ideals
31585
Primary ideals of $\mathbb{Z}$
90314
Maximal ideals in $R[x]$