When are $${\varvec{n}}$$-syzygy modules $${\varvec{n}}$$-torsionfree?

• Matsui, Hiroki

• Takahashi, Ryo

• Tsuchiya, Yoshinao

書誌事項

タイトル別名

• When are n-syzygy modules n-torsionfree?

抄録

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.

収録刊行物

• Archiv der Mathematik

  Archiv der Mathematik 108 (4), 351-355, 2017-04

  Springer

キーワード

• n-Torsionfree module
• n-Syzygy module
• Serre’s condition
• Gorenstein ring

詳細情報

• CRID: 1050845763735961344
• NII論文ID: 120006318704
• DOI: 10.1007/s00013-017-1020-9
• ISSN: 14208938
• ISSN: 0003889X
• HANDLE: 2237/26755
• Web Site: https://nagoya.repo.nii.ac.jp/records/24543
• Web Site: http://link.springer.com/content/pdf/10.1007/s00013-017-1020-9.pdf
• Web Site: http://link.springer.com/article/10.1007/s00013-017-1020-9/fulltext.html
• 本文言語コード: en
• 資料種別: journal article
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