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  1. 040 理学部
  2. 0401 学術論文

COHEN-MACAULAY MODULES AND HOLONOMIC MODULES OVER FILTERED RINGS

http://hdl.handle.net/10091/3891
5a8dda27-6fa0-4fd5-973f-425b4905a798
名前 / ファイル ライセンス アクション
cmh-rev-2.pdf cmh-rev-2.pdf (181.0 kB)
Item type 学術雑誌論文 / Journal Article(1)
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
キーワード
主題Scheme Other
主題 Gorenstein dimension
キーワード
主題Scheme Other
主題 grade
キーワード
主題Scheme Other
主題 filtered ring
キーワード
主題Scheme Other
主題 Cohen-Macaulay module
キーワード
主題Scheme Other
主題 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

WEKO 36461

Miyahara, H

Search repository
Nishida, K

× Nishida, K

WEKO 36462

Nishida, K

Search repository
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
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
DOI
関連識別子
識別子タイプ DOI
関連識別子 https://doi.org/10.1080/00927870802248605
関連名称
関連名称 10.1080/00927870802248605
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
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