query: Finding Radical of an Ideal
positive_passages.docid: 142530
positive_passages.text: Let K be a field, and $I=(XY,(X-Y)Z)⊆K[X,Y,Z]$. Prove that $√I=(XY,XZ,YZ)$.
negative_passages.docid: 124646
negative_passages.text: Understanding the ideal $IJ$ in $R$
negative_passages.docid: 114193
negative_passages.text: On the absolute norm of an ideal
negative_passages.docid: 40975
negative_passages.text: Quotient of the ring of integers of a number field by a prime ideal
negative_passages.docid: 118781
negative_passages.text: product of ideals in matrix ring
negative_passages.docid: 119067
negative_passages.text: Basic Ring Theory Question involving the unit element
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: 10943
negative_passages.text: What is an example of a radical of sum of ideals not being equal to the sum of radicals?
negative_passages.docid: 104784
negative_passages.text: On the grade of an ideal
negative_passages.docid: 77820
negative_passages.text: Roots in a polynomial ring
negative_passages.docid: 49875
negative_passages.text: Question on Comaximal Ideals
negative_passages.docid: 13617
negative_passages.text: Evaluating the nested radical $ \sqrt{1 + 2 \sqrt{1 + 3 \sqrt{1 + \cdots}}} $.
negative_passages.docid: 52966
negative_passages.text: Rings, ideals and units-proof
negative_passages.docid: 138341
negative_passages.text: How do you square an ideal?
negative_passages.docid: 73417
negative_passages.text: $Rad(I)$ is an ideal of $R$
negative_passages.docid: 120181
negative_passages.text: The ideal generated by $2$ and $ x$ in $\mathbb{Z}[x]$
negative_passages.docid: 111996
negative_passages.text: Maximal and Prime Ideal in Z