Finding a maximal ideal in the set of continuous real-valued functions on $\mathbb{R}$
29126
Maximal ideal in the ring of continuous functions from $\mathbb{R} \to \mathbb{R}$
63701
An example of a regular function over an open set
113582
How can I find an element $x\not\in\mathfrak mM_{\mathfrak m}$ for every maximal ideal $\mathfrak m$
13765
Is a rational-valued continuous function $f\colon[0,1]\to\mathbb{R}$ constant?
100560
$X$ compact Hausdorff space, characterize the maximal ideals of $C(X)$
89313
Maximal ideals of polynomial rings in infinitely many variables
18222
Set of continuity points of a real function
93658
Proving that an ideal in a PID is maximal if and only if it is generated by an irreducible
87617
Ring of $\mathbb{Z}_2$-valued functions
2198
Maps from subsets of $\mathbb{R}^2$ that are either open/closed/continuous
2142
Finding a set of continuous functions with a certain property 2
154625
$\operatorname{span}(x^0, x^1, x^2,\cdots)$ and the vector space of all real valued continuous functions on $\Bbb R$
104782
Polynomial irreducible - maximal ideal
109199
Prove that every nonzero prime ideal is maximal in $\mathbb{Z}[\sqrt{d}]$
139334
Determining the existence or non-existence of Non Trivial Ideals of $L(V)$
111996
Maximal and Prime Ideal in Z
157378
On an injective ring homomorphism from the ring of continuous functions to the ring of differentiable functions