Perfect linkage of Cohen–Macaulay modules over Cohen–Macaulay rings

• Iima, Kei-ichiro

• Takahashi, Ryo

抄録

In this paper, we introduce and study the notion of linkage by perfect modules, which we call perfect linkage, for Cohen–Macaulay modules over Cohen–Macaulay local rings. We explore perfect linkage in connection with syzygies, maximal Cohen–Macaulay approximations and Yoshino–Isogawa linkage. We recover a theorem of Yoshino and Isogawa, and analyze the structure of double perfect linkage. Moreover, we establish a criterion for two Cohen–Macaulay modules of codimension one to be perfectly linked, and apply it to the classical linkage theory for ideals. We also construct various examples of linkage of modules and ideals.

収録刊行物

• Journal of Algebra

  Journal of Algebra 458 134-155, 2016-07-15

  Elsevier

キーワード

• CI-linkage
• Perfect linkage
• Yoshino–Isogawa linkage
• Cohen–Macaulay module
• Perfect module
• Maximal Cohen–Macaulay approximation

詳細情報

• CRID: 1050845763735009664
• NII論文ID: 120005889991
• DOI: 10.1016/j.jalgebra.2016.03.014
• HANDLE: 2237/25134
• ISSN: 00218693
• Web Site: https://nagoya.repo.nii.ac.jp/records/22956
• Web Site: https://api.elsevier.com/content/article/PII:S0021869316300023?httpAccept=text/xml
• Web Site: https://api.elsevier.com/content/article/PII:S0021869316300023?httpAccept=text/plain
• 本文言語コード: en
• 資料種別: journal article
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