Existence of a prime ideal
92071
A maximal ideal is always a prime ideal?
19883
Prime ideals of the matrix ring
6507
Every prime ideal of height 1 in a UFD is principal
92519
ideal behind Maximal ideals are Prime ideals
53469
C(0, 1) has infinitely many prime ideals not of the form Mp
93929
The height of a principal prime ideal
117536
Why is the localization at a prime ideal a local ring?
23099
Verifying that the ideal $(x^3-y^2)$ is prime
87780
Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?
81743
Prime ideals in $C[0,1]$
149136
On the height of an ideal
83050
Show that $P[x]+\langle x\rangle $ is a prime ideal of $R[x]$.
111996
Maximal and Prime Ideal in Z
106550
The bijection between homogeneous prime ideals of $S_f$ and prime ideals of $(S_f)_0$
19230
Prime/Maximal Ideals in $\mathbb{Z}[\sqrt d]$
21604
A complete ring with respect to an ideal
15904
Prime ideal and nilpotent elements