{"created":"2023-06-19T11:10:48.825137+00:00","id":965,"links":{},"metadata":{"_buckets":{"deposit":"f5c6834f-5080-4d35-9bf4-c264b1d75153"},"_deposit":{"created_by":5,"id":"965","owners":[5],"pid":{"revision_id":0,"type":"depid","value":"965"},"status":"published"},"_oai":{"id":"oai:fukuoka-edu.repo.nii.ac.jp:00000965","sets":["71:74:1715148028825"]},"author_link":["2702","2703"],"item_16_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019-03-10","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"13","bibliographicPageStart":"1","bibliographicVolumeNumber":"68","bibliographic_titles":[{"bibliographic_title":"福岡教育大学紀要. 第三分冊, 数学・理科・技術科編"},{"bibliographic_title":"Bulletin of University of Teacher Education Fukuoka. Part III, Mathematics, natural sciences and technology"}]}]},"item_16_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We introduce the concept of valuations of Lie algebras and completions\nof valued Lie algebras. We show that if (L, | · |) is a valued Lie algebra\nthen there is the unique completion (L , | · | ) up to isomorphism. We show\nthat if a subalgebra H of L is a weak subideal of L (resp. a subideal of L, finitedimensional,\nsoluble, nilpotent) then its topological closure H  in (L , | · | )\nis a weak subideal of L  (resp. a subideal of L , finite-dimensional, soluble,\nnilpotent). We also introduce valuations |·| of the generalized Witt algebra WZ\nand present some properties of (W  Z , | · |). Finally we illustrate the completion\nof (WZ, | · |) with a specific example.","subitem_description_type":"Abstract"}]},"item_16_radio_19":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_radio_item":"紀要論文 Article"}]},"item_1714138083653":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0532-811X","subitem_source_identifier_type":"PISSN"}]},"item_1714138754612":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"福岡教育大学"}]},"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":"坂本, 隆則","creatorNameLang":"ja"},{"creatorName":"サカモト, タカノリ","creatorNameLang":"ja-Kana"},{"creatorName":"SAKAMOTO, Takanori","creatorNameLang":"en"}],"familyNames":[{"familyName":"坂本","familyNameLang":"ja"},{"familyName":"サカモト","familyNameLang":"ja-Kana"},{"familyName":"SAKAMOTO","familyNameLang":"en"}],"givenNames":[{"givenName":"隆則","givenNameLang":"ja"},{"givenName":"タカノリ","givenNameLang":"ja-Kana"},{"givenName":"Takanori","givenNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"2702","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"本多, 政宣","creatorNameLang":"ja"},{"creatorName":"ホンダ, マサノブ","creatorNameLang":"ja-Kana"},{"creatorName":"HONDA, Masanobu","creatorNameLang":"en"}],"familyNames":[{"familyName":"本多","familyNameLang":"ja"},{"familyName":"ホンダ","familyNameLang":"ja-Kana"},{"familyName":"HONDA","familyNameLang":"en"}],"givenNames":[{"givenName":"政宣","givenNameLang":"ja"},{"givenName":"マサノブ","givenNameLang":"ja-Kana"},{"givenName":"Masanobu","givenNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"2703","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":"2020-09-28"}],"displaytype":"detail","filename":"3-01-坂本 隆則.pdf","filesize":[{"value":"1.2 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"3-01-坂本 隆則.pdf","url":"https://fukuoka-edu.repo.nii.ac.jp/record/965/files/3-01-坂本 隆則.pdf"},"version_id":"fa20c3c5-a473-4c12-8100-725263e0c886"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"ETYP:教育関連論文","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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"VALUATIONS OF LIE ALGEBRAS","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"VALUATIONS OF LIE ALGEBRAS","subitem_title_language":"en"}]},"item_type_id":"16","owner":"5","path":["1715148028825"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2019-03-19"},"publish_date":"2019-03-19","publish_status":"0","recid":"965","relation_version_is_last":true,"title":["VALUATIONS OF LIE ALGEBRAS"],"weko_creator_id":"5","weko_shared_id":-1},"updated":"2024-05-23T05:20:42.689860+00:00"}