query: Example that ideals are not transitive
positive_passages.docid: 144250
positive_passages.text: subideals of an ideal
negative_passages.docid: 122012
negative_passages.text: The ideal $(x,y)$ is not a free $K[x,y]$-module
negative_passages.docid: 1720
negative_passages.text: Show that $\langle 2,x \rangle$ is not a principal ideal in $\mathbb Z [x]$
negative_passages.docid: 39129
negative_passages.text: Simplest Example of a Poset that is not a Lattice
negative_passages.docid: 104486
negative_passages.text: Ideal in $\mathbb Z[x]$ which is not two-generated
negative_passages.docid: 156457
negative_passages.text: Show that $K[x,xy,xy^2,\dots]$ is not Noetherian
negative_passages.docid: 20296
negative_passages.text: The ideal $I= \langle x,y \rangle\subset k[x,y]$ is not principal
negative_passages.docid: 111679
negative_passages.text: Example of a ring without unity that has a subring with unity?
negative_passages.docid: 32127
negative_passages.text: Example where $f\circ g$ is bijective, but neither $f$ nor $g$ is bijective
negative_passages.docid: 142887
negative_passages.text: Exercise 1 pg 33 from "Algebra - T. W. Hungerford" - example for a semigroup-hom but not monoid-hom..
negative_passages.docid: 19996
negative_passages.text: Example where union of increasing sigma algebras is not a sigma algebra
negative_passages.docid: 9074
negative_passages.text: Example of non-isomorphic structures which are elementarily equivalent
negative_passages.docid: 96071
negative_passages.text: How to show that a prime ideal of height 2 can’t necessarily be generated by 2 elements? (Hartshorne exercise I.1.11)
negative_passages.docid: 13961
negative_passages.text: An example of a lattice that's not totally ordered
negative_passages.docid: 148616
negative_passages.text: When is a ring homomorphism $A \to A$ surjective but not injective.
negative_passages.docid: 127030
negative_passages.text: Simple example of non-arithmetic ring (non-distributive ideal lattice)
negative_passages.docid: 115920
negative_passages.text: Showing $R$ is a local ring if and only if all elements of $R$ that are not units form an ideal