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On minimal overrings of a noetherian domain

โœ Scribed by Sato, Junro; Sugatani, Takasi; Yoshida, Ken-ichi


Book ID
120413659
Publisher
Taylor and Francis Group
Year
1992
Tongue
English
Weight
299 KB
Volume
20
Category
Article
ISSN
0092-7872

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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