Valuations on extensions of Weyl skew fields
type: Item
instance of: scholarly article
title: Valuations on extensions of Weyl skew fields
zbMATH Open document ID: 0865.16032
author: Luc Willaert
author: Fred Van Oystaeyen
published in: Journal of Algebra
publication date: 1997-05-21T00:00:00Z
full work available at URL: 5119.pdf
review text: The main result is that if \(k\subset K\) is a finitely generated field extension of transcendence degree 1, and \(k'=K'\) is the corresponding extension of skew fields of the first Weyl algebra, then the \(k\)-valuations of \(K\) are in one-to-one correspondence with the \(k'\)-valuations of \(K'\).
reviewed by: Constantin Năstăsescu
Mathematics Subject Classification ID: 16W60
Mathematics Subject Classification ID: 16S32
Mathematics Subject Classification ID: 16K40
zbMATH DE Number: 923689
zbMATH Keywords: valuations
zbMATH Keywords: finitely generated field extensions
zbMATH Keywords: skew fields
zbMATH Keywords: Weyl algebras
MaRDI profile type: Publication
OpenAlex ID: W2007739642
DOI: 10.1006/JABR.1996.0224
description: scientific article; zbMATH DE number 923689