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ID 58592
著者
Hayasaka, Futoshi Department of Environmental and Mathematical Sciences, Okayama University Kaken ID researchmap
抄録
In this article, we construct integrally closed modules of rank two over a two-dimensional regular local ring. The modules are explicitly constructed from a given complete monomial ideal with respect to a regular system of parameters. Then we investigate their indecomposability. As a consequence, we have a large class of indecomposable integrally closed modules whose Fitting ideal is not simple. This gives an answer to Kodiyalam's question.
キーワード
Integral closure
Indecomposable module
Monomial ideal
Regular local ring
備考
This fulltext is available in Apr. 2022.
発行日
2020-08-15
出版物タイトル
Journal of Algebra
556巻
出版者
Academic Press
開始ページ
879
終了ページ
907
ISSN
00218693
NCID
AA00692420
資料タイプ
学術雑誌論文
言語
English
OAI-PMH Set
岡山大学
論文のバージョン
author
DOI
Web of Science KeyUT
関連URL
isVersionOf https://doi.org/10.1016/j.jalgebra.2020.03.029