query: Classification of radical ideals of $\mathbb{Z}[X]$
positive_passages.docid: 155745
positive_passages.text: Ideals of $\mathbb{Z}[X]$
negative_passages.docid: 29019
negative_passages.text: Ideals in direct product of rings
negative_passages.docid: 20097
negative_passages.text: Cardinality of the quotient ring $\mathbb{Z}[x]/(x^2-3,2x+4)$
negative_passages.docid: 147871
negative_passages.text: How do the prime ideals of $\mathbb{Z}_{k}$ look like?
negative_passages.docid: 43230
negative_passages.text: Is $\langle1-i\rangle$ a maximal ideal in $\mathbb{Z}[i]$?
negative_passages.docid: 7833
negative_passages.text: Ideal and minimal polynomial
negative_passages.docid: 95146
negative_passages.text: Polynomial ring $R[X] $ has zero Jacobson radical, for $R$ a domain
negative_passages.docid: 107821
negative_passages.text: The ring of integers of $\mathbf{Q}[i]$
negative_passages.docid: 146801
negative_passages.text: Primary decomposition of an ideal
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: 102341
negative_passages.text: Primary decomposition of a monomial ideal
negative_passages.docid: 29126
negative_passages.text: Maximal ideal in the ring of continuous functions from $\mathbb{R} \to \mathbb{R}$
negative_passages.docid: 116943
negative_passages.text: Proof for maximal ideals in $\mathbb{Z}[x]$
negative_passages.docid: 104784
negative_passages.text: On the grade of an ideal
negative_passages.docid: 104789
negative_passages.text: How to tell an ideal of integer polynomial ring is principal?
negative_passages.docid: 103561
negative_passages.text: Residue fields of schemes of finite type (over $\mathbb{Z}$)
negative_passages.docid: 87078
negative_passages.text: Prove the following set is an ideal of the ring $Z[x]$