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ID 55354
著者
Hashimoto, Mitsuyasu Department of Mathematics, Okayama University
抄録
Using the description of the Frobenius limit of modules over the ring of invariants under an action of a finite group on a polynomial ring over a field of characteristic p>0 developed by Symonds and the author, we give a characterization of the ring of invariants with a positive dual F-signature. Combining this result and Kemper's result on depths of the ring of invariants under an action of a permutation group, we give an example of an F-rational, but non-F-regular ring of invariants under the action of a finite group.
キーワード
F-rational
F-regular
Dual F-signature
Frobenius limit
備考
This is an Accepted Manuscript of an article published by Elsevier
This fulltext available in Aug 2019
発行日
2017-08-15
出版物タイトル
Journal of Algebra
484巻
出版者
Elsevier
開始ページ
207
終了ページ
223
ISSN
0021-8693
NCID
AA00692420
資料タイプ
学術雑誌論文
言語
English
OAI-PMH Set
岡山大学
著作権者
https://creativecommons.org/licenses/by-nc-nd/4.0/deed.ja
論文のバージョン
author
DOI
Web of Sience KeyUT
関連URL
https://doi.org/10.1016/j.jalgebra.2017.04.017