Let $M$ be the maximal ideal in $C(X,\mathbb R)$. Prove that there exists $x\in X$ such that $M=M_x$.
100560
$X$ compact Hausdorff space, characterize the maximal ideals of $C(X)$
42170
$R$ integral domain where every prime ideal is principal then set of non-principal ideals has maximal element
68202
Must an ideal generated by an irreducible element be a maximal ideal?
104377
Maximal Ideals in Ring of Continuous Functions
46040
Preimage of maximal ideal is maximal (why is this answer wrong?)
97605
Let $f$ be a surjective homomorphism. Prove that $\ker(f)$ is a maximal ideal
38228
Let $R$ be a Artinian commutative ring with $1 \neq 0$. If $I$ is prime, then $I$ is maximal.
22716
$A$ is integrally closed if and only if $A_P$ is integrally closed for all maximal ideals $P$ of $A$.
27766
Comaximal ideals in a commutative ring
138168
Prove: The pre-image of an ideal is an ideal.
80232
Suppose that R is a commutative ring with unity such that for each $a$ in $R$ there is an integer $n > 1\mid a^n =a$. Every prime ideal is maximal?
29452
Divisor in $\mathbb{C}[X]$ $\implies$ divisor in $\mathbb{R}[X]$?
144572
Proof that ideals in $C[0,1]$ are of the form $M_c$ that should not involve Zorn's Lemma
6646
A (non-artificial) example of a ring without maximal ideals
38963
Ideals in ring of continuous functions $\mathcal{C}[0,1]$ ... NBHM- Algebra
113582
How can I find an element $x\not\in\mathfrak mM_{\mathfrak m}$ for every maximal ideal $\mathfrak m$
116000
Prove that prime ideals of a finite ring are maximal