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ON THE EXISTENCE OF EMBEDDINGS INTO MODULES OF FINITE HOMOLOGICAL DIMENSIONS
http://hdl.handle.net/10091/10837
http://hdl.handle.net/10091/108371770c092-4a4d-4fe3-aff2-73ded9d1c726
名前 / ファイル | ライセンス | アクション |
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EXISTENCE_EMBEDDINGS_MODULES.pdf (130.7 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2010-12-16 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | ON THE EXISTENCE OF EMBEDDINGS INTO MODULES OF FINITE HOMOLOGICAL DIMENSIONS | |||||
言語 | ||||||
言語 | eng | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1090/S0002-9939-10-10323-2 | |||||
関連名称 | 10.1090/S0002-9939-10-10323-2 | |||||
キーワード | ||||||
主題 | Gorenstein ring, Cohen-Macaulay ring, projective dimension, injective dimension, (semi)dualizing module | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Takahashi, Ryo
× Takahashi, Ryo× Yassemi, Siamak× Yoshino, Yuji |
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出版者 | ||||||
出版者 | AMER MATHEMATICAL SOC | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 138(7):2265-2268 (2010) | |||||
書誌情報 |
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 巻 138, 号 7, p. 2265-2268, 発行日 2010-07 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let R be a commutative Noetherian local ring. We show that R is Gorenstein if and only if every finitely generated R-module can be embedded in a finitely generated R-module of finite projective dimension. This extends a result of Auslander and Bridger to rings of higher Krull dimension, and it also improves a result due to Foxby where the ring is assumed to be Cohen-Macaulay. | |||||
スポンサー | ||||||
内容記述タイプ | Other | |||||
内容記述 | Let R be a commutative Noetherian local ring. We show that R is Gorenstein if and only if every finitely generated R-module can be embedded in a finitely generated R-module of finite projective dimension. This extends a result of Auslander and Bridger to rings of higher Krull dimension, and it also improves a result due to Foxby where the ring is assumed to be Cohen-Macaulay. | |||||
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 | 0002-9939 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00781790 | |||||
権利 | ||||||
権利情報 | Copyright (c) 2010 American Mathematical Society | |||||
出版タイプ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
WoS | ||||||
表示名 | Web of Science | |||||
URL | http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000278512900001 |