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Filtrations in Module Categories, Derived Categories, and Prime Spectra
http://hdl.handle.net/2237/0002002958
http://hdl.handle.net/2237/0002002958afc7c9b7-e4de-4773-92ad-e95b96a10141
名前 / ファイル | ライセンス | アクション |
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ncoh27.pdf (787 KB)
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Item type | itemtype_ver1(1) | |||||||||
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公開日 | 2022-06-13 | |||||||||
タイトル | ||||||||||
タイトル | Filtrations in Module Categories, Derived Categories, and Prime Spectra | |||||||||
言語 | en | |||||||||
著者 |
Matsui, Hiroki
× Matsui, Hiroki
× Takahashi, Ryo
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アクセス権 | ||||||||||
アクセス権 | open access | |||||||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||
権利 | ||||||||||
言語 | en | |||||||||
権利情報 | This is a pre-copyedited, author-produced version of an article accepted for publication in [International Mathematics Research Notices] following peer review. The version of record [Hiroki Matsui, Ryo Takahashi, Filtrations in Module Categories, Derived Categories, and Prime Spectra, International Mathematics Research Notices, Volume 2022, Issue 5, March 2022, Pages 3457–3492, https://doi.org/10.1093/imrn/rnaa284] is available online at: https://doi.org/10.1093/imrn/rnaa284. | |||||||||
内容記述 | ||||||||||
内容記述タイプ | Abstract | |||||||||
内容記述 | Let R be a commutative noetherian ring. The notion of n-wide subcategories of Mod R is introduced and studied in Matsui–Nam–Takahashi–Tri–Yen in relation to the cohomological dimension of a specialization-closed subset of Spec R. In this paper, we introduce the notions of n-coherent subsets of Spec R and n-uniform subcategories of D(Mod R) and explore their interactions with n-wide subcategories of Mod R. We obtain a commutative diagram that yields filtrations of subcategories of Mod R, D(Mod R) and subsets of Spec R and complements classification theorems of subcategories due to Gabriel, Krause, Neeman, Takahashi, and Angeleri Hügel–Marks–Šťovíček–Takahashi–Vitória. | |||||||||
言語 | en | |||||||||
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出版者 | Oxford University Press | |||||||||
言語 | en | |||||||||
言語 | ||||||||||
言語 | eng | |||||||||
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資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
資源タイプ | journal article | |||||||||
出版タイプ | ||||||||||
出版タイプ | AM | |||||||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||||
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関連タイプ | isVersionOf | |||||||||
識別子タイプ | DOI | |||||||||
関連識別子 | https://doi.org/10.1093/imrn/rnaa284 | |||||||||
収録物識別子 | ||||||||||
収録物識別子タイプ | PISSN | |||||||||
収録物識別子 | 1073-7928 | |||||||||
書誌情報 |
en : International Mathematics Research Notices 巻 2022, 号 5, p. 3457-3492, 発行日 2022-03 |
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ファイル公開日 | ||||||||||
日付 | 2023-03-01 | |||||||||
日付タイプ | Available |