Are prime ideals always comaximal?
135682
Are distinct prime ideals in a ring always coprime? If not, then when are they?
87780
Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?
85206
Verifying proof :an Ideal $P$ is prime Ideal if $R/P$ is an integral domain.
110984
Ideals and prime ideals in a commutative ring.
50809
Proving $R-S$ contains a prime ideal when $S$ is a multiplicative set
15904
Prime ideal and nilpotent elements
120149
Is the complement of a prime ideal closed under both addition and multiplication?
111996
Maximal and Prime Ideal in Z
45684
Is quotient of a ring by a power of a maximal ideal local?
19883
Prime ideals of the matrix ring
62917
Associated Prime Ideals in a Noetherian Ring; Exercise 6.4 in Matsumura
53469
C(0, 1) has infinitely many prime ideals not of the form Mp
36498
Is logical "or" exclusive or inclusive in prime ideal definition
91180
Show $R \setminus S$ is a union of prime ideals
48405
Why does the characteristic of a finite field always have to be prime?
131497
Maximal ideal not containing the set of powers of an element is prime
141687
Nonprincipal prime ideals contain two relatively prime elements