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Extension Closedness of Syzygies and Local Gorensteinness of Commutative Rings
http://hdl.handle.net/2237/25135
http://hdl.handle.net/2237/2513599b801d7-3165-4718-afff-c70c502a5d32
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2016-12-01 | |||||
タイトル | ||||||
タイトル | Extension Closedness of Syzygies and Local Gorensteinness of Commutative Rings | |||||
言語 | en | |||||
著者 |
Goto, Shiro
× Goto, Shiro× Takahashi, Ryo |
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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/s10468-015-9585-0 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Syzygy | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Extension closed subcategory | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Gorenstein ring | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Serre’s condition | |||||
抄録 | ||||||
内容記述 | We refine a well-known theorem of Auslander and Reiten about the extension closedness of nth syzygies over noether algebras. Applying it, we obtain the converse of a celebrated theorem of Evans and Griffith on Serre’s condition (Sn) and the local Gorensteiness of a commutative ring in height less than n. This especially extends a recent result of Araya and Iima concerning a Cohen–Macaulay local ring with canonical module to an arbitrary local ring. | |||||
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/s10468-015-9585-0 | |||||
ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 1386-923X | |||||
書誌情報 |
Algebras and Representation Theory 巻 19, 号 3, p. 511-521, 発行日 2016-06 |
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著者版フラグ | ||||||
値 | author | |||||
URI | ||||||
識別子 | http://doi.org/10.1007/s10468-015-9585-0 | |||||
識別子タイプ | DOI | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/25135 | |||||
識別子タイプ | HDL |