query: Let $I_c$ denote the functions that vanish at some fixed $c\in\mathbb{R}$. Is $I_c$ a maximal ideal?
positive_passages.docid: 29126
positive_passages.text: Maximal ideal in the ring of continuous functions from $\mathbb{R} \to \mathbb{R}$
negative_passages.docid: 138130
negative_passages.text: If $I$ is a maximal ideal of $R$, why is $R/I$ a field?
negative_passages.docid: 87780
negative_passages.text: Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?
negative_passages.docid: 144572
negative_passages.text: Proof that ideals in $C[0,1]$ are of the form $M_c$ that should not involve Zorn's Lemma
negative_passages.docid: 45684
negative_passages.text: Is quotient of a ring by a power of a maximal ideal local?
negative_passages.docid: 122012
negative_passages.text: The ideal $(x,y)$ is not a free $K[x,y]$-module
negative_passages.docid: 93641
negative_passages.text: A maximal ideal among those avoiding a multiplicative set is prime
negative_passages.docid: 46040
negative_passages.text: Preimage of maximal ideal is maximal (why is this answer wrong?)
negative_passages.docid: 149136
negative_passages.text: On the height of an ideal
negative_passages.docid: 155745
negative_passages.text: Ideals of $\mathbb{Z}[X]$
negative_passages.docid: 43889
negative_passages.text: Prove that $u-i$ is a maximal ideal of $\frac {\Bbb C[X,Y]} {\left (X^2+Y^2-1 \right )}.$
negative_passages.docid: 129371
negative_passages.text: Maximal ideals in the ring of real functions on $[0,1]$
negative_passages.docid: 111996
negative_passages.text: Maximal and Prime Ideal in Z
negative_passages.docid: 131000
negative_passages.text: A proof of a criterion of vanishing of a function.
negative_passages.docid: 151786
negative_passages.text: Proving that there is no ideal $I$ in $\mathbb{Z}[t]$ such that $\mathbb{Z}[t]/I \cong \mathbb{Q}$
negative_passages.docid: 73417
negative_passages.text: $Rad(I)$ is an ideal of $R$
negative_passages.docid: 464
negative_passages.text: Prove that the ideal $(X_1-a_1,...,X_n-a_n)$ is maximal in $K[X_1,\dots,X_n]$