Compatible ideals in Gorenstein rings
| Autor: | Thomas Polstra, Karl Schwede |
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| Rok vydání: | 2020 |
| Předmět: | |
| DOI: | 10.48550/arxiv.2007.13810 |
| Popis: | Suppose $R$ is a $\mathbb{Q}$-Gorenstein $F$-finite and $F$-pure ring of prime characteristic $p>0$. We show that if $I\subseteq R$ is a compatible ideal (with all $p^{-e}$-linear maps) then there exists a module finite extension $R\to S$ such that the ideal $I$ is the sum of images of all $R$-linear maps $S\to R$. Previous versions of the article proved the main theorem under the additional assumption that the $\mathbb{Q}$-Gorenstein index was relatively prime to the characteristic of $R$. Edits to the proof of the main theorem have been made |
| Databáze: | OpenAIRE |
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