query: Example of non-noetherian ring whose spectrum is noetherian
positive_passages.docid: 143884
positive_passages.text: A non-noetherian ring with noetherian spectrum
negative_passages.docid: 149753
negative_passages.text: The structure of a Noetherian ring in which every element is an idempotent.
negative_passages.docid: 77453
negative_passages.text: A zero-dimensional ring is Noetherian?
negative_passages.docid: 29981
negative_passages.text: Why are Noetherian Rings important?
negative_passages.docid: 137450
negative_passages.text: Two-sided ideal generated by subset of not commutative ring
negative_passages.docid: 146276
negative_passages.text: Is there a ring such that the nilradical of it is not nilpotent?
negative_passages.docid: 113512
negative_passages.text: Characteristic of nonzero commutative rings with unity
negative_passages.docid: 87382
negative_passages.text: Non-invertible elements form an ideal
negative_passages.docid: 130367
negative_passages.text: Proof that $K\otimes_F L$ is not noetherian
negative_passages.docid: 6646
negative_passages.text: A (non-artificial) example of a ring without maximal ideals
negative_passages.docid: 114480
negative_passages.text: Example of a domain where all irreducibles are primes and that is not a GCD domain
negative_passages.docid: 153852
negative_passages.text: Example of modules that are projective but not free; torsion-free but not free
negative_passages.docid: 46303
negative_passages.text: Example of a non-Noetherian complete local ring
negative_passages.docid: 156457
negative_passages.text: Show that $K[x,xy,xy^2,\dots]$ is not Noetherian
negative_passages.docid: 111679
negative_passages.text: Example of a ring without unity that has a subring with unity?
negative_passages.docid: 47159
negative_passages.text: Wanted: example of an increasing sequence of $\sigma$-fields whose union is not a $\sigma$-field
negative_passages.docid: 28518
negative_passages.text: Hom of finitely generated modules over a noetherian ring