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COHEN-MACAULAY MODULES AND HOLONOMIC MODULES OVER FILTERED RINGS
http://hdl.handle.net/10091/3891
http://hdl.handle.net/10091/38915a8dda27-6fa0-4fd5-973f-425b4905a798
名前 / ファイル | ライセンス | アクション |
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cmh-rev-2.pdf (181.0 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2010-02-02 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | COHEN-MACAULAY MODULES AND HOLONOMIC MODULES OVER FILTERED RINGS | |||||
言語 | ||||||
言語 | eng | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1080/00927870802248605 | |||||
関連名称 | 10.1080/00927870802248605 | |||||
キーワード | ||||||
主題 | Gorenstein dimension, grade, filtered ring, Cohen-Macaulay module, holonomic module | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Miyahara, H
× Miyahara, H× Nishida, K |
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信州大学研究者総覧へのリンク | ||||||
氏名 | Nishida, K | |||||
URL | http://soar-rd.shinshu-u.ac.jp/profile/ja.yNTpPaSm.html | |||||
出版者 | ||||||
出版者 | Taylor & Francis Inc. | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | Communications in Algebra. 37(2):406-430 (2009) | |||||
書誌情報 |
Communications in Algebra 巻 37, 号 2, p. 406-430, 発行日 2009 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We study Gorenstein dimension and grade of a module M over a filtered ring whose associated graded ring is a commutative Noetherian ring. An equality or an inequality between these invariants of a filtered module and its associated graded module is the most valuable property for an investigation of filtered rings. We prove an inequality G-dimM <= G-dim grM and an equality grade M = grade grM, whenever Gorenstein dimension of grM is finite (Theorems 2.3 and 2.8). We would say that the use of G-dimension adds a new viewpoint for studying filtered rings and modules. We apply these results to a filtered ring with a Cohen-Macaulay or Gorenstein associated graded ring and study a Cohen-Macaulay, perfect, or holonomic module. | |||||
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 | 0092-7872 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00611371 | |||||
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 | |||||
URL | http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000263199400002 |