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  1. D200 大学院多元数理科学研究科
  2. D200a 雑誌掲載論文
  3. 学術雑誌

On the Auslander-Reiten conjecture for Cohen-Macaulay local rings

http://hdl.handle.net/2237/26973
http://hdl.handle.net/2237/26973
171fbecc-41d1-48b5-9599-fdc1dad7ec5a
名前 / ファイル ライセンス アクション
tc9.pdf tc9.pdf (96.7 kB)
Item type 学術雑誌論文 / Journal Article(1)
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

WEKO 73544

en Goto, Shiro

Search repository
Takahashi, Ryo

× Takahashi, Ryo

WEKO 73545

en Takahashi, Ryo

Search repository
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
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
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