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Base change of Invariant subrings

Published online by Cambridge University Press:  11 January 2016

Mitsuyasu Hashimoto
Mitsuyasu Hashimoto*
Affiliation:
Graduate School of Mathematics Nagoya University Chikusa-ku, Nagoya 464-8602Japanhasimoto@math.nagoya-u.ac.jp
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Abstract

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Let R be a Dedekind domain, G an affine flat R-group scheme, and B a flat R-algebra on which G acts. Let A → BG be an R-algebra map. Assume that A is Noetherian. We show that if the induced map K ⊗ A → (K ⊗B)K⊗G is an isomorphism for any algebraically closed field K which is an R-algebra, then S ⊗ A → (S ⊗ B)S⊗G is an isomorphism for any R-algebra S.

Keywords

13A50
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 186 , 2007 , pp. 165 - 171
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2007

References

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