query: Minimal primary decomposition of the ideal $I = (XY, Y Z, XZ) ⊆ \mathbb C[X, Y, Z]$
positive_passages.docid: 146801
positive_passages.text: Primary decomposition of an ideal
negative_passages.docid: 149203
negative_passages.text: Symbolic power of a prime ideal is primary
negative_passages.docid: 31585
negative_passages.text: Primary ideals of $\mathbb{Z}$
negative_passages.docid: 35247
negative_passages.text: The characteristic and minimal polynomial of a companion matrix
negative_passages.docid: 83115
negative_passages.text: A set of elements in a reduced unity ring
negative_passages.docid: 89313
negative_passages.text: Maximal ideals of polynomial rings in infinitely many variables
negative_passages.docid: 7833
negative_passages.text: Ideal and minimal polynomial
negative_passages.docid: 74150
negative_passages.text: Problem on the number of generators of some ideals in $k[x,y,z]$
negative_passages.docid: 70856
negative_passages.text: Construct ideals in $\mathbb Z[x]$ with a given least number of generators
negative_passages.docid: 113152
negative_passages.text: Prove Principal Ideal Domain from Bezout's condition, and terminating divisibility chain
negative_passages.docid: 81550
negative_passages.text: Linking two theorems: on algebraic closure and on minimal splitting field
negative_passages.docid: 60391
negative_passages.text: Ideal Generated by Three Elements in Polynomial Ring
negative_passages.docid: 34712
negative_passages.text: Decomposable elements of $\Lambda^k(V)$
negative_passages.docid: 144250
negative_passages.text: subideals of an ideal
negative_passages.docid: 49875
negative_passages.text: Question on Comaximal Ideals
negative_passages.docid: 89056
negative_passages.text: Intuitive understanding of ideal $I = (x+1,x^2+1)$ and the quotient $\Bbb Z[x]/I$
negative_passages.docid: 155745
negative_passages.text: Ideals of $\mathbb{Z}[X]$