Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 165-171 |
| Number of pages | 7 |
| Journal | Nagoya Mathematical Journal |
| Volume | 186 |
| DOIs | |
| Publication status | Published - Jan 1 2007 |
ASJC Scopus subject areas
- Mathematics(all)
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Cite this
Hashimoto, M. (2007). Base change of invariant subrings. Nagoya Mathematical Journal, 186, 165-171. https://doi.org/10.1017/S0027763000009405