When a prime ideal in polynomial ring over integers is principal
108896
Prime ideal in a polynomial ring over an integrally closed domain
56800
Intersection of prime ideals
97740
Homogeneous ideals are contained in homogeneous prime ideals
53367
In a principal ideal domain, prove that every non trivial prime ideal is a maximal ideal. What could be wrong in this approach?
74558
Localization of ideals at all primes
67669
Prime ideals of a finite direct product ring
60391
Ideal Generated by Three Elements in Polynomial Ring
111307
If ideal $I$ of domain $R$ is free $R$-module, then $I$ is principal ideal.
115541
Subrings of polynomial rings over the complex plane
108380
Assume $P$ is a prime ideal s.t. $K \subset P$, show $f(P)$ is a prime ideal
89271
If $F$ is a field, then $F[x]$ is a principal ideal domain proof question
42170
$R$ integral domain where every prime ideal is principal then set of non-principal ideals has maximal element
3604
If F is a field, then $F[x,y]$ is a Principal Ideal Domain?
23099
Verifying that the ideal $(x^3-y^2)$ is prime
6507
Every prime ideal of height 1 in a UFD is principal
94174
Ring of polynomials over a field has infinitely many primes
87151
Primary ideals in Noetherian rings