When each prime ideal is maximal
34008
If a commutative ring is semiprime and its prime ideals are maximal then it is von Neumann regular (absolutely flat).
19230
Prime/Maximal Ideals in $\mathbb{Z}[\sqrt d]$
78455
Prove that a nonzero integer p is prime if and only if the ideal (p) is maximal in Z.
93929
The height of a principal prime ideal
97740
Homogeneous ideals are contained in homogeneous prime ideals
110022
Showing prime and maximal ideal
93723
Find all the maximal ideals in the ring $\mathbb{R}[x]$.
6699
An ideal that is maximal among non-finitely generated ideals is prime.
108896
Prime ideal in a polynomial ring over an integrally closed domain
93658
Proving that an ideal in a PID is maximal if and only if it is generated by an irreducible
108380
Assume $P$ is a prime ideal s.t. $K \subset P$, show $f(P)$ is a prime ideal
131497
Maximal ideal not containing the set of powers of an element is prime
92519
ideal behind Maximal ideals are Prime ideals
119056
If in a UFD every maximal ideal is principal then it is a PID
46040
Preimage of maximal ideal is maximal (why is this answer wrong?)
109199
Prove that every nonzero prime ideal is maximal in $\mathbb{Z}[\sqrt{d}]$
129302
Proving whether ideals are prime in $\mathbb{Z}[\sqrt{-5}]$