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We prove that if this set is finite, then either it has exactly one element, represented by the rank 1 free module, or R is Gorenstein and an isolated singularity (if R is complete, then it is even a simple hypersurface singularity). The crux of our proof is to argue that if the residue field has a totally reflexive cover, then R is Gorenstein or every totally reflexive R-module is free. (c) 2008 Elsevier Inc. 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Finite Gorenstein representation type implies simple singularity
http://hdl.handle.net/10091/1120
http://hdl.handle.net/10091/1120ad1ca2cf-0d8e-48cf-8daa-928a254d6c7f
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2008-08-06 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Finite Gorenstein representation type implies simple singularity | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Christensen, LW
× Christensen, LW× Piepmeyer, G× Striuli, J× Takahashi, R |
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出版者 | ||||||
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | ADVANCES IN MATHEMATICS. 218(4): 1012-1026(2008) | |||||
書誌情報 |
ADVANCES IN MATHEMATICS 巻 218, 号 4, p. 1012-1026, 発行日 2008-07-10 |
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資源タイプ(コンテンツの種類) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Article | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0001-8708 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00513055 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1016/j.aim.2008.03.005 | |||||
関連名称 | 10.1016/j.aim.2008.03.005 | |||||
出版タイプ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
WoS | ||||||
表示名 | Web of Science | |||||
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