ID | 58592 |
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Author |
Hayasaka, Futoshi
Department of Environmental and Mathematical Sciences, Okayama University
Kaken ID
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Abstract | 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.
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Keywords | Integral closure
Indecomposable module
Monomial ideal
Regular local ring
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Note | This is an accepted manuscript of an article published by Academic Press.
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Published Date | 2020-08-15
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Publication Title |
Journal of Algebra
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Volume | volume556
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Publisher | Academic Press
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Start Page | 879
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End Page | 907
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ISSN | 00218693
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NCID | AA00692420
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Content Type |
Journal Article
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language |
English
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OAI-PMH Set |
岡山大学
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File Version | author
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DOI | |
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Related Url | isVersionOf https://doi.org/10.1016/j.jalgebra.2020.03.029
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