query: Subring of a finitely generated Noetherian ring need not be Noetherian?
positive_passages.docid: 153622
positive_passages.text: Are intermediate rings of finitely generated ring extensions also finitely generated?
negative_passages.docid: 153210
negative_passages.text: Why is every Noetherian zero-dimensional scheme finite discrete?
negative_passages.docid: 28518
negative_passages.text: Hom of finitely generated modules over a noetherian ring
negative_passages.docid: 156457
negative_passages.text: Show that $K[x,xy,xy^2,\dots]$ is not Noetherian
negative_passages.docid: 46303
negative_passages.text: Example of a non-Noetherian complete local ring
negative_passages.docid: 75970
negative_passages.text: $\mathbb Z[1/2]$ is not finitely generated?
negative_passages.docid: 68633
negative_passages.text: Example of Noetherian ring over which the Euclidean algorithm is not valid.
negative_passages.docid: 16984
negative_passages.text: Finite extension of domains : preimage of non-zero ideal is non-zero?
negative_passages.docid: 114329
negative_passages.text: Example of subring that is not an ideal
negative_passages.docid: 79897
negative_passages.text: if R is a commutative ring in which all the prime ideals are finitely generated then R is Noetherian
negative_passages.docid: 22529
negative_passages.text: The support of a non finitely generated module
negative_passages.docid: 44396
negative_passages.text: Noetherian Ring under a Homomorphism / homomorphic function / map
negative_passages.docid: 107002
negative_passages.text: Noetherian ring whose ideals have arbitrarily large number of generators
negative_passages.docid: 152730
negative_passages.text: Example of a finitely generated faithful torsion module over a commutative ring
negative_passages.docid: 6646
negative_passages.text: A (non-artificial) example of a ring without maximal ideals
negative_passages.docid: 114640
negative_passages.text: Showing that an ideal is not a free $R-$module.
negative_passages.docid: 133738
negative_passages.text: Can a ring without a unit element have a subring with a unit element?