Prime but not maximal ideal in k[x,y] is principal
21946
What do prime ideals in $k[x,y]$ look like?
76661
Checking the maximality of a principal ideal in $R[x]$
141687
Nonprincipal prime ideals contain two relatively prime elements
149203
Symbolic power of a prime ideal is primary
145594
Splitting of prime ideals in algebraic extensions
6307
maximal ideal not containing some expression
138882
A prime poset of ideals
155745
Ideals of $\mathbb{Z}[X]$
138114
Proving the quotient of a principal ideal domain by a prime ideal is again a principal ideal domain
85915
Principal prime ideals are minimal among prime ideals in a UFD
6699
An ideal that is maximal among non-finitely generated ideals is prime.
31585
Primary ideals of $\mathbb{Z}$
56800
Intersection of prime ideals
33245
Show that every ideal of the ring $\mathbb Z$ is principal
117786
Show that some monomial ideal is primary
130466
Proving every prime ideal is maximal in a finite dimensional ring over a field.
92071
A maximal ideal is always a prime ideal?