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Valuation overrings of a Noetherian domain

โœ Scribed by Chang, Gyu Whan; Oh, Dong Yeol


Book ID
122273753
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
171 KB
Volume
218
Category
Article
ISSN
0022-4049

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Let R be a one-dimensional noetherian domain containing the field Q of rational numbers. Let A be an A'-fibration over R. Then there exists HE A such that A is an A'-fibration over R[H]. As a consequence, if a,,, is free then A = R['].

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In this paper all coordinates in two variables over a Noetherian Q-domain of Krull dimension one are proved to be stably tame. In order to do this, some results concerning stable tameness of polynomials in general are shown. Furthermore, we deduce that all automorphisms in two variables over a Noeth