query: Show that J is a maximal ideal
positive_passages.docid: 118306
positive_passages.text: $I:=\{f(x)\in R\mid f(1)=0\}$ is a maximal ideal?
negative_passages.docid: 117786
negative_passages.text: Show that some monomial ideal is primary
negative_passages.docid: 7833
negative_passages.text: Ideal and minimal polynomial
negative_passages.docid: 67237
negative_passages.text: Pull back image of maximal ideal under surjective ring homomorphism is maximal
negative_passages.docid: 53367
negative_passages.text: In a principal ideal domain, prove that every non trivial prime ideal is a maximal ideal. What could be wrong in this approach?
negative_passages.docid: 121750
negative_passages.text: Let $R$ be a commutative, unital ring and let $I$ be an ideal of $R.$ Prove that if $I$ is maximal then $R/I$ is a field.
negative_passages.docid: 114193
negative_passages.text: On the absolute norm of an ideal
negative_passages.docid: 138130
negative_passages.text: If $I$ is a maximal ideal of $R$, why is $R/I$ a field?
negative_passages.docid: 92071
negative_passages.text: A maximal ideal is always a prime ideal?
negative_passages.docid: 50908
negative_passages.text: Showing a Ring and an Ideal are equal
negative_passages.docid: 29126
negative_passages.text: Maximal ideal in the ring of continuous functions from $\mathbb{R} \to \mathbb{R}$
negative_passages.docid: 93658
negative_passages.text: Proving that an ideal in a PID is maximal if and only if it is generated by an irreducible
negative_passages.docid: 151829
negative_passages.text: Why are maximal ideals prime?
negative_passages.docid: 6307
negative_passages.text: maximal ideal not containing some expression
negative_passages.docid: 19230
negative_passages.text: Prime/Maximal Ideals in $\mathbb{Z}[\sqrt d]$
negative_passages.docid: 130466
negative_passages.text: Proving every prime ideal is maximal in a finite dimensional ring over a field.
negative_passages.docid: 131497
negative_passages.text: Maximal ideal not containing the set of powers of an element is prime