if $\operatorname{Dim}(A)=0$, then every prime ideal is maximal
92585
If krull dimension is $0$, then all prime ideals are maximal?
107463
Is an ideal which is maximal with respect to the property that it consists of zero divisors necessarily prime?
138572
Is $(xy-1)$ a maximal ideal in $\mathbb C[x,y]$?
118306
$I:=\{f(x)\in R\mid f(1)=0\}$ is a maximal ideal?
89313
Maximal ideals of polynomial rings in infinitely many variables
128813
Examples of a commutative ring without an identity in which a maximal ideal is not a prime ideal
53770
Let $R$ be a finite commutative ring. Show that an ideal is maximal if and only if it is prime.
92519
ideal behind Maximal ideals are Prime ideals
53469
C(0, 1) has infinitely many prime ideals not of the form Mp
22716
$A$ is integrally closed if and only if $A_P$ is integrally closed for all maximal ideals $P$ of $A$.
109688
Zero-dimensional ideals and finite-dimensional algebras
54916
Maximal ideal in commutative ring
149747
Prove that if I is a prime ideal of R then I[x] is a prime ideal of R[x]
6646
A (non-artificial) example of a ring without maximal ideals
38228
Let $R$ be a Artinian commutative ring with $1 \neq 0$. If $I$ is prime, then $I$ is maximal.
29126
Maximal ideal in the ring of continuous functions from $\mathbb{R} \to \mathbb{R}$
93641
A maximal ideal among those avoiding a multiplicative set is prime