{"created":"2021-03-01T06:30:46.100174+00:00","id":22957,"links":{},"metadata":{"_buckets":{"deposit":"fde037dd-656b-44df-a79f-66186fb1b658"},"_deposit":{"id":"22957","owners":[],"pid":{"revision_id":0,"type":"depid","value":"22957"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:00022957","sets":["697:698:699"]},"author_link":["67746","67747"],"item_10_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016-06","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"521","bibliographicPageStart":"511","bibliographicVolumeNumber":"19","bibliographic_titles":[{"bibliographic_title":"Algebras and Representation Theory"}]}]},"item_10_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We refine a well-known theorem of Auslander and Reiten about the extension closedness of nth syzygies over noether algebras. Applying it, we obtain the converse of a celebrated theorem of Evans and Griffith on Serre’s condition (Sn) and the local Gorensteiness of a commutative ring in height less than n. This especially extends a recent result of Araya and Iima concerning a Cohen–Macaulay local ring with canonical module to an arbitrary local ring.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10_identifier_60":{"attribute_name":"URI","attribute_value_mlt":[{"subitem_identifier_type":"DOI","subitem_identifier_uri":"http://doi.org/10.1007/s10468-015-9585-0"},{"subitem_identifier_type":"HDL","subitem_identifier_uri":"http://hdl.handle.net/2237/25135"}]},"item_10_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Springer","subitem_publisher_language":"en"}]},"item_10_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1007/s10468-015-9585-0","subitem_relation_type_select":"DOI"}}]},"item_10_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"The final publication is available at Springer via http://doi.org/10.1007/s10468-015-9585-0","subitem_rights_language":"en"}]},"item_10_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"author"}]},"item_10_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1386-923X","subitem_source_identifier_type":"PISSN"}]},"item_1615787544753":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Goto, Shiro","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"67746","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Takahashi, Ryo","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"67747","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-01"}],"displaytype":"detail","filename":"syzext6.pdf","filesize":[{"value":"143.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"syzext6.pdf ファイル公開：2017/06/01","objectType":"fulltext","url":"https://nagoya.repo.nii.ac.jp/record/22957/files/syzext6.pdf"},"version_id":"cce11cef-6871-4011-a6ca-ccc35e0373bf"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Syzygy","subitem_subject_scheme":"Other"},{"subitem_subject":"Extension closed subcategory","subitem_subject_scheme":"Other"},{"subitem_subject":"Gorenstein ring","subitem_subject_scheme":"Other"},{"subitem_subject":"Serre’s condition","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Extension Closedness of Syzygies and Local Gorensteinness of Commutative Rings","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Extension Closedness of Syzygies and Local Gorensteinness of Commutative Rings","subitem_title_language":"en"}]},"item_type_id":"10","owner":"1","path":["699"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2016-12-01"},"publish_date":"2016-12-01","publish_status":"0","recid":"22957","relation_version_is_last":true,"title":["Extension Closedness of Syzygies and Local Gorensteinness of Commutative Rings"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-01-16T04:42:56.381241+00:00"}