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

• Goto, Shiro

• Takahashi, Ryo

抄録

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.

収録刊行物

• Proceedings of the American Mathematical Society

  Proceedings of the American Mathematical Society 145 (8), 3289-3296, 2017-08

  American Mathematical Society

キーワード

• Applied Mathematics
• General Mathematics

詳細情報

• CRID: 1050845763736002560
• NII論文ID: 120006343686
• DOI: 10.1090/proc/13487
• HANDLE: 2237/26973
• ISSN: 10886826
• ISSN: 00029939
• Web Site: https://nagoya.repo.nii.ac.jp/records/24751
• Web Site: https://www.ams.org/proc/2017-145-08/S0002-9939-2017-13487-X/proc13487_AM.pdf
• Web Site: http://www.ams.org/proc/2017-145-08/S0002-9939-2017-13487-X/S0002-9939-2017-13487-X.pdf
• Web Site: https://www.ams.org/proc/2017-145-08/S0002-9939-2017-13487-X/S0002-9939-2017-13487-X.pdf
• 本文言語コード: en
• 資料種別: journal article
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