query: Nilpotent elements forming an ideal
positive_passages.docid: 20877
positive_passages.text: The set of all nilpotent elements is an ideal
negative_passages.docid: 117482
negative_passages.text: Lifting idempotents modulo a nilpotent ideal
negative_passages.docid: 151797
negative_passages.text: Which element belong to the principal ideal $(3+i)$?
negative_passages.docid: 21604
negative_passages.text: A complete ring with respect to an ideal
negative_passages.docid: 67669
negative_passages.text: Prime ideals of a finite direct product ring
negative_passages.docid: 16727
negative_passages.text: Intersection of finitely generated ideals
negative_passages.docid: 74537
negative_passages.text: Maximal Ideals in $K[y]$
negative_passages.docid: 61526
negative_passages.text: An exercise about nilpotent quotient groups
negative_passages.docid: 49854
negative_passages.text: Ideals in polynomial rings generated by linear polynomials
negative_passages.docid: 133046
negative_passages.text: Showing $[L,rad(L)]$ is nilpotent.
negative_passages.docid: 67944
negative_passages.text: Nilpotent Elements and Intersection of Prime Ideals
negative_passages.docid: 10908
negative_passages.text: Associated elements in a ring
negative_passages.docid: 149136
negative_passages.text: On the height of an ideal
negative_passages.docid: 140553
negative_passages.text: An ideal which is not finitely generated
negative_passages.docid: 27766
negative_passages.text: Comaximal ideals in a commutative ring
negative_passages.docid: 50445
negative_passages.text: Explaining the product of two ideals
negative_passages.docid: 29600
negative_passages.text: What is true for a ring with exactly two right ideals