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On the Auslander-Reiten conjecture for Cohen-Macaulay local rings
http://hdl.handle.net/2237/26973
http://hdl.handle.net/2237/26973171fbecc-41d1-48b5-9599-fdc1dad7ec5a
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 | 2017-09-07 | |||||
タイトル | ||||||
タイトル | On the Auslander-Reiten conjecture for Cohen-Macaulay local 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 | First published in Proceedings of the American Mathematical Society in v.145 (2017), published by the American Mathematical Society. | |||||
抄録 | ||||||
内容記述 | This paper studies vanishing of Ext modules over Cohen-Macaulay local rings. The main result of this paper implies that the Auslander-Reiten conjecture holds for maximal Cohen-Macaulay modules of rank one over Cohen-Macaulay normal local rings. It also recovers a theorem of Avramov-Buchweitz-Şega and Hanes-Huneke, which shows that the Tachikawa conjecture holds for Cohen-Macaulay generically Gorenstein local rings. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | American Mathematical Society | |||||
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/10.1090/proc/13487 | |||||
ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 1088-6826 | |||||
書誌情報 |
Proceedings of the American Mathematical Society 巻 145, 号 8, p. 3289-3296, 発行日 2017-08 |
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著者版フラグ | ||||||
値 | author | |||||
URI | ||||||
識別子 | https://doi.org/10.1090/proc/13487 | |||||
識別子タイプ | DOI | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/26973 | |||||
識別子タイプ | HDL |