{"created":"2023-06-19T11:41:16.182002+00:00","id":1527,"links":{},"metadata":{"_buckets":{"deposit":"be4fde97-e3c3-4918-8468-52449328c5ae"},"_deposit":{"created_by":14,"id":"1527","owners":[14],"pid":{"revision_id":0,"type":"depid","value":"1527"},"status":"published"},"_oai":{"id":"oai:setsunan.repo.nii.ac.jp:00001527","sets":["120:133:261:262"]},"author_link":["2794","2792","2793","2791"],"item_10002_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2023-02","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"74","bibliographicPageStart":"62","bibliographicVolumeNumber":"8","bibliographic_titles":[{"bibliographic_title":"摂南大学　融合科学研究所論文集"},{"bibliographic_title":"Bulletin of the Transdisciplinary and Interdisciplinary Science Research Institute. Setsunan University","bibliographic_titleLang":"en"}]}]},"item_10002_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"All mathematicians accept the axioms of vector space. Of course, there are people out there who do not. Some people try to derive the existence of zero element from other axioms. However, we can prove that the existence axiom of zero element is independent of other axioms as all mathematicians would think so. Furthermore, we introduce an equivalence relation to make vector spaces from sets in partial absence of the vector space axioms. We shall show that this equivalence relation has a strange property, and we found that there is a connection between the way of our making vector spaces and the construction of the Grothendieck group.","subitem_description_type":"Abstract"}]},"item_10002_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"2432-5031","subitem_source_identifier_type":"ISSN"}]},"item_10002_text_24":{"attribute_name":"記事種別","attribute_value_mlt":[{"subitem_text_value":"研究論文"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"小林, 俊公"},{"creatorName":"コバヤシ, トシマサ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"島田, 伸一"},{"creatorName":"シマダ, シンイチ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"KOBAYASHI, Toshimasa","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"SHIMADA, Shinichi","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2023-03-17"}],"displaytype":"detail","filename":"2022_008_01_007ts_kobayashi.pdf","filesize":[{"value":"236.7 kB"}],"format":"application/pdf","license_note":"Copyright（c）2023 by Setsunan University","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"ベクトル空間の公理系の一部を欠く集合の構成と同値関係によるベクトル空間化","url":"https://setsunan.repo.nii.ac.jp/record/1527/files/2022_008_01_007ts_kobayashi.pdf"},"version_id":"2b4083f3-f43d-4a3c-97ab-ae2cff9b4977"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"ベクトル空間","subitem_subject_scheme":"Other"},{"subitem_subject":"ベクトル空間の公理","subitem_subject_scheme":"Other"},{"subitem_subject":"同値関係","subitem_subject_scheme":"Other"},{"subitem_subject":"グロタンディーク群","subitem_subject_scheme":"Other"},{"subitem_subject":"vector space","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"axiom of vector space","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"equivalence relation","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Grothendieck group","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"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":"ベクトル空間の公理系の一部を欠く集合の構成と同値関係によるベクトル空間化","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"ベクトル空間の公理系の一部を欠く集合の構成と同値関係によるベクトル空間化"},{"subitem_title":"On the construction of sets lacking a part of the axioms of vector spaces and the vector spaceization by using an equivalence relation","subitem_title_language":"en"}]},"item_type_id":"10002","owner":"14","path":["262"],"pubdate":{"attribute_name":"公開日","attribute_value":"2023-03-17"},"publish_date":"2023-03-17","publish_status":"0","recid":"1527","relation_version_is_last":true,"title":["ベクトル空間の公理系の一部を欠く集合の構成と同値関係によるベクトル空間化"],"weko_creator_id":"14","weko_shared_id":-1},"updated":"2023-06-19T11:49:20.602415+00:00"}