著者 Hashimoto, Mitsuyasu|
抄録 We define canonical and -canonical modules of a module-finite algebra over a Noether commutative ring and study their basic properties. Using -canonical modules, we generalize a theorem on -syzygy by Araya and Iima which generalize a well-known theorem on syzygies by Evans and Griffith. Among others, we prove a noncommutative version of Aoyama’s theorem which states that a canonical module descends with respect to a flat local homomorphism.
備考 This is an Accepted Manuscript of an article published by Cambridge University Press This fulltext availavle in Dec 2017
発行日 2017-06
出版物タイトル Nagoya Mathematical Journal
226巻
出版者 Cambridge University Press
開始ページ 165
終了ページ 203
ISSN 0027-7630
NCID AA00750899
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 This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works.
論文のバージョン author
DOI 10.1017/nmj.2016.44
関連URL https://doi.org/10.1017/nmj.2016.44 https://arxiv.org/abs/1508.07552
著者 Sano, Shunji| Ishino, Kozo| Kawada, Masaaki| Yoshizumi, Ko| Takeuchi, Mamoru| Ohtsuki, Shin-ichi|
発行日 2004-10
出版物タイトル Cardiology in the Young
14巻
資料タイプ 学術雑誌論文