| Item type |
学術雑誌論文 / Journal Article(1) |
| 公開日 |
2010-12-16 |
| タイトル |
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|
タイトル |
ON THE EXISTENCE OF EMBEDDINGS INTO MODULES OF FINITE HOMOLOGICAL DIMENSIONS |
| 言語 |
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|
言語 |
eng |
| DOI |
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|
関連識別子 |
https://doi.org/10.1090/S0002-9939-10-10323-2 |
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関連名称 |
10.1090/S0002-9939-10-10323-2 |
| キーワード |
|
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主題 |
Gorenstein ring, Cohen-Macaulay ring, projective dimension, injective dimension, (semi)dualizing module |
| 資源タイプ |
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資源 |
http://purl.org/coar/resource_type/c_6501 |
|
タイプ |
journal article |
| 著者 |
Takahashi, Ryo
Yassemi, Siamak
Yoshino, Yuji
|
| 出版者 |
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出版者 |
AMER MATHEMATICAL SOC |
| 引用 |
|
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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
|
| 抄録 |
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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 |
|
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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） |
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| ISSN |
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収録物識別子タイプ |
ISSN |
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収録物識別子 |
0002-9939 |
| 書誌レコードID |
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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 |
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|
URL |
http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000278512900001 |
EXISTENCE_EMBEDDINGS_MODULES.pdf (130.7 kB)
