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When are n-syzygy modules n-torsionfree?
http://hdl.handle.net/2237/26755
http://hdl.handle.net/2237/267556b277979-18d7-4ece-b5c5-3ca42e23b053
名前 / ファイル | ライセンス | アクション |
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tf5.pdf ファイル公開:2018/04/01 (80.6 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2017-07-04 | |||||
タイトル | ||||||
タイトル | When are n-syzygy modules n-torsionfree? | |||||
言語 | en | |||||
著者 |
Matsui, Hiroki
× Matsui, Hiroki× Takahashi, Ryo× Tsuchiya, Yoshinao |
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アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | The final publication is available at Springer via http://doi.org/10.1007/s00013-017-1020-9 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | n-Torsionfree module | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | n-Syzygy module | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Serre’s condition | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Gorenstein ring | |||||
抄録 | ||||||
内容記述 | Let R be a commutative Noetherian ring. We consider the question of when n-syzygy modules over R are n-torsionfree in the sense of Auslander and Bridger. Our tools include Serre’s condition and certain conditions on the local Gorenstein property of R. Our main result implies the converse of a celebrated theorem of Evans and Griffith. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | Springer | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
出版タイプ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1007/s00013-017-1020-9 | |||||
ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0003-889X | |||||
書誌情報 |
Archiv der Mathematik 巻 108, 号 4, p. 351-355, 発行日 2017-04 |
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著者版フラグ | ||||||
値 | author | |||||
URI | ||||||
識別子 | http://doi.org/10.1007/s00013-017-1020-9 | |||||
識別子タイプ | DOI | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/26755 | |||||
識別子タイプ | HDL |