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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

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

http://hdl.handle.net/2237/25134
http://hdl.handle.net/2237/25134
8bcfabc6-6c57-4129-a844-8c228a267fa0
名前 / ファイル ライセンス アクション
link11.pdf link11.pdf ファイル公開:2018/07/15 (169.7 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2016-12-01
タイトル
タイトル Perfect linkage of Cohen–Macaulay modules over Cohen–Macaulay rings
言語 en
著者 Iima, Kei-ichiro

× Iima, Kei-ichiro

WEKO 67744

en Iima, Kei-ichiro

Search repository
Takahashi, Ryo

× Takahashi, Ryo

WEKO 67745

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 © 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
キーワード
主題Scheme Other
主題 CI-linkage
キーワード
主題Scheme Other
主題 Perfect linkage
キーワード
主題Scheme Other
主題 Yoshino–Isogawa linkage
キーワード
主題Scheme Other
主題 Cohen–Macaulay module
キーワード
主題Scheme Other
主題 Perfect module
キーワード
主題Scheme Other
主題 Maximal Cohen–Macaulay approximation
抄録
内容記述 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.
言語 en
内容記述タイプ Abstract
出版者
言語 en
出版者 Elsevier
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/10.1016/j.jalgebra.2016.03.014
ISSN
収録物識別子タイプ PISSN
収録物識別子 0021-8693
書誌情報 Journal of Algebra

巻 458, p. 134-155, 発行日 2016-07-15
著者版フラグ
値 author
URI
識別子 http://dx.doi.org/10.1016/j.jalgebra.2016.03.014
識別子タイプ DOI
URI
識別子 http://hdl.handle.net/2237/25134
識別子タイプ HDL
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