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Hovey gave a bijection between the set of coherent subcategories of the category of finitely presented R-modules and the set of thick subcategories of the derived category of perfect R-complexes. Using this bijection, he proved that every coherent subcategory of finitely presented R-modules is a Serre subcategory. In this paper, it is proved that this holds whenever R is a commutative noetherian ring. This paper also yields a module version of the bijection between the set of localizing subcategories of the derived category of R-modules and the set of subsets of Spec R which was given by Neeman."}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Takahashi,  R"}], "nameIdentifiers": [{"nameIdentifier": "36522", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2015-09-28"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "Classifying_subcategories.pdf", "filesize": [{"value": "208.3 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 208300.0, "url": {"label": "Classifying_subcategories.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/11919/files/Classifying_subcategories.pdf"}, "version_id": "1e8478f1-a900-4272-a7b6-4ed2f8e2cdbf"}]}, "item_language": {"attribute_name": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"resourcetype": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Classifying subcategories of modules over a commutative noetherian ring", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Classifying subcategories of modules over a commutative noetherian ring", "subitem_title_language": "en"}]}, "item_type_id": "6", "owner": "1", "path": ["1169/1170"], "permalink_uri": "http://hdl.handle.net/10091/3079", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2009-05-25"}, "publish_date": "2009-05-25", "publish_status": "0", "recid": "11919", "relation": {}, "relation_version_is_last": true, "title": ["Classifying subcategories of modules over a commutative noetherian ring"], "weko_shared_id": -1}