query: localized at associated prime of an ideal
positive_passages.docid: 62917
positive_passages.text: Associated Prime Ideals in a Noetherian Ring; Exercise 6.4 in Matsumura
negative_passages.docid: 91180
negative_passages.text: Show $R \setminus S$ is a union of prime ideals
negative_passages.docid: 27766
negative_passages.text: Comaximal ideals in a commutative ring
negative_passages.docid: 67944
negative_passages.text: Nilpotent Elements and Intersection of Prime Ideals
negative_passages.docid: 21946
negative_passages.text: What do prime ideals in $k[x,y]$ look like?
negative_passages.docid: 87780
negative_passages.text: Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?
negative_passages.docid: 44083
negative_passages.text: prove that maximal ideal in $\mathbb{Z}$ generated by a prime number
negative_passages.docid: 146801
negative_passages.text: Primary decomposition of an ideal
negative_passages.docid: 94157
negative_passages.text: Normal Ring and Prime Ideal whose Square is Principal
negative_passages.docid: 102341
negative_passages.text: Primary decomposition of a monomial ideal
negative_passages.docid: 117536
negative_passages.text: Why is the localization at a prime ideal a local ring?
negative_passages.docid: 19230
negative_passages.text: Prime/Maximal Ideals in $\mathbb{Z}[\sqrt d]$
negative_passages.docid: 129302
negative_passages.text: Proving whether ideals are prime in $\mathbb{Z}[\sqrt{-5}]$
negative_passages.docid: 108380
negative_passages.text: Assume $P$ is a prime ideal s.t. $K \subset P$, show $f(P)$ is a prime ideal
negative_passages.docid: 67203
negative_passages.text: Complement of maximal multiplicative set is a prime ideal
negative_passages.docid: 110022
negative_passages.text: Showing prime and maximal ideal
negative_passages.docid: 5360
negative_passages.text: Ideal contained in a finite union of prime ideals