2024-03-28T11:55:08Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00022956
2023-01-16T04:42:56Z
697:698:699
Perfect linkage of Cohen–Macaulay modules over Cohen–Macaulay rings
Iima, Kei-ichiro
Takahashi, Ryo
open access
© 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/
CI-linkage
Perfect linkage
Yoshino–Isogawa linkage
Cohen–Macaulay module
Perfect module
Maximal Cohen–Macaulay approximation
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.
Elsevier
2016-07-15
eng
journal article
AM
http://hdl.handle.net/2237/25134
https://nagoya.repo.nii.ac.jp/records/22956
https://doi.org/10.1016/j.jalgebra.2016.03.014
0021-8693
Journal of Algebra
458
134
155
https://nagoya.repo.nii.ac.jp/record/22956/files/link11.pdf
application/pdf
169.7 kB
2018-07-15