Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4587921 | Journal of Algebra | 2008 | 24 Pages |
Abstract
We show that over a complete discrete valuation ring R whose residue field is algebraically closed, any Noetherian R-subalgebra of R[X] is finitely generated and present examples of non-finitely generated Noetherian R-subalgebras of R[X] satisfying various properties. We also give a sufficient codimension-one criterion for a Noetherian R-subalgebra of R[X] to be finitely generated over R when R is locally factorial.
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