ID 55353
FullText URL
Author
Hashimoto, Mitsuyasu Department of Mathematics, Okayama University
Abstract
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.
Note
This is an Accepted Manuscript of an article published by Cambridge University Press
This fulltext availavle in Dec 2017
Published Date
2017-06
Publication Title
Nagoya Mathematical Journal
Volume
volume226
Publisher
Cambridge University Press
Start Page
165
End Page
203
ISSN
0027-7630
NCID
AA00750899
Content Type
Journal Article
language
英語
OAI-PMH Set
岡山大学
Copyright Holders
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.
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author
DOI
Related Url
https://doi.org/10.1017/nmj.2016.44
https://arxiv.org/abs/1508.07552