query: Show that $I^{(n)}$ is a primary ideal belonging to $P$
positive_passages.docid: 149203
positive_passages.text: Symbolic power of a prime ideal is primary
negative_passages.docid: 124646
negative_passages.text: Understanding the ideal $IJ$ in $R$
negative_passages.docid: 110984
negative_passages.text: Ideals and prime ideals in a commutative ring.
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: 104784
negative_passages.text: On the grade of an ideal
negative_passages.docid: 87103
negative_passages.text: Quick question about ideals of field $F$ in $F[x]$ are principal.
negative_passages.docid: 112043
negative_passages.text: Show that the ideal $ (2, 1 + \sqrt{-7} ) $ in $ \mathbb{Z} [\sqrt{-7} ] $ is not principal
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: 33245
negative_passages.text: Show that every ideal of the ring $\mathbb Z$ is principal
negative_passages.docid: 133975
negative_passages.text: Localising a polynomial ring and non-maximal prime ideal
negative_passages.docid: 9792
negative_passages.text: Is there an example of a power of prime ideal in a polynomial ring that is not primary?
negative_passages.docid: 108767
negative_passages.text: Irreducible Components of the Prime Spectrum of a Quotient Ring and Primary Decomposition
negative_passages.docid: 146304
negative_passages.text: prove $(n)$ prime ideal of $\mathbb{Z}$ iff $n$ is prime or zero
negative_passages.docid: 74370
negative_passages.text: $P$ is a prime ideal of $R$ iff $R/P$ is an integral domain. : $P≠R$
negative_passages.docid: 47134
negative_passages.text: Ideals generated by two elements
negative_passages.docid: 60391
negative_passages.text: Ideal Generated by Three Elements in Polynomial Ring
negative_passages.docid: 76661
negative_passages.text: Checking the maximality of a principal ideal in $R[x]$