query: Maximal ideal in the ring of real valued continuous functions
positive_passages.docid: 144572
positive_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: 116943
negative_passages.text: Proof for maximal ideals in $\mathbb{Z}[x]$
negative_passages.docid: 19230
negative_passages.text: Prime/Maximal Ideals in $\mathbb{Z}[\sqrt d]$
negative_passages.docid: 92071
negative_passages.text: A maximal ideal is always a prime ideal?
negative_passages.docid: 587
negative_passages.text: Ideal Generated by the Union of Two Ideals
negative_passages.docid: 63207
negative_passages.text: Zorn's lemma and maximal ideals
negative_passages.docid: 30714
negative_passages.text: A question on ring homomorphisms and maximal ideals.
negative_passages.docid: 157876
negative_passages.text: If every prime ideal is maximal, what can we say about the ring?
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: 109199
negative_passages.text: Prove that every nonzero prime ideal is maximal in $\mathbb{Z}[\sqrt{d}]$
negative_passages.docid: 110022
negative_passages.text: Showing prime and maximal ideal
negative_passages.docid: 99715
negative_passages.text: Proper ideal and units proof
negative_passages.docid: 38963
negative_passages.text: Ideals in ring of continuous functions $\mathcal{C}[0,1]$ ... NBHM- Algebra
negative_passages.docid: 116883
negative_passages.text: About ideals in a ring which is a $k$ vector space
negative_passages.docid: 120947
negative_passages.text: continuous real-valued function
negative_passages.docid: 52966
negative_passages.text: Rings, ideals and units-proof
negative_passages.docid: 6307
negative_passages.text: maximal ideal not containing some expression