Prime ideals of the ring of integers lying over $p\mathbb{Z}$
65131
Can infinitely many primes lie over a prime?
87078
Prove the following set is an ideal of the ring $Z[x]$
131497
Maximal ideal not containing the set of powers of an element is prime
17247
Localisation and prime ideals
135586
Prove that the preimage of a prime ideal is also prime.
30401
Determining the structure of the quotient ring $\mathbb{Z}[x]/(x^2+3,p)$
87780
Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?
74558
Localization of ideals at all primes
74370
$P$ is a prime ideal of $R$ iff $R/P$ is an integral domain. : $P≠R$
21604
A complete ring with respect to an ideal
72640
$(m,n) = (\gcd(m,n))$ as ideals in $\Bbb Z$
97740
Homogeneous ideals are contained in homogeneous prime ideals
67944
Nilpotent Elements and Intersection of Prime Ideals
108896
Prime ideal in a polynomial ring over an integrally closed domain
94157
Normal Ring and Prime Ideal whose Square is Principal
148550
Units in quotient ring of $\mathbb Z[X]$
50809
Proving $R-S$ contains a prime ideal when $S$ is a multiplicative set