{"created":"2021-03-01T05:58:46.452914+00:00","id":6340,"links":{},"metadata":{"_buckets":{"deposit":"a62f8b54-9da8-43f9-9ca0-255bcf489081"},"_deposit":{"created_by":188,"id":"6340","owners":[188],"pid":{"revision_id":0,"type":"depid","value":"6340"},"status":"published"},"_oai":{"id":"oai:kitami-it.repo.nii.ac.jp:00006340","sets":["7:15:27"]},"author_link":["32234","32233"],"item_2_alternative_title_18":{"attribute_name":"その他のタイトル","attribute_value_mlt":[{"subitem_alternative_title":"Some notes on semi-ordered sets which form positive Cones of semi-ordered vector spaces","subitem_alternative_title_language":"en"}]},"item_2_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1973-10","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"107","bibliographicPageStart":"103","bibliographicVolumeNumber":"5","bibliographic_titles":[{"bibliographic_title":"北見工業大学研究報告","bibliographic_titleLang":"ja"}]}]},"item_2_description_14":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_2_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let R be a semi-ordered vector space. We put R^＋=｛ｘ：ｘ∈R，ｘ≧0｝　　R^＋ is a semi-ordered set with the least element 0 and satisfies the following conditions:　　　　I.(1)for every a，b∈R^＋ we have a＋b∈R^＋，　　　　　　(2)(a＋b)＋c=a＋(b＋c)，　　　　　　(3)a＋b=b＋ａ，　　　　　　(4)a＋0＝a，　　　　　　(5)for every a，b∈R^＋ we have a≦a＋b，　　　　　　(6)a＋c＝b＋c implies a＝b，　　　　　　(7)if a≦ｂ，then we have uniquely determined ｃ∈R^＋　such that a＋c＝b，　　　　II.(1)for any real number α≧O and a∈R^＋ we haveαa∈R^＋，　　　　　　(2)α(βa)＝(αβ)a，　　　　　　(3)α(a＋b)＝αa＋αb，　　　　　　(4)(α＋β)a＝αa＋βa，　　　　　　(5)1a＝a，　　Generally let x be a semi-ordered set and we assume that x satisfies the previous conditions l. (1)-(7)and II.(1)-(5). In this paper，such a semi-ordered set x is styled as “a semi-ordered set with the least element and non-negative real domain of operators\". In this paper we discuss the existence of a semi-ordered vector space R which R^＋＝X and some properties of x.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_2_full_name_3":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"32234","nameIdentifierScheme":"WEKO"}],"names":[{"name":"ISOBE, Kiro","nameLang":"en"}]}]},"item_2_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"北見工業大学","subitem_publisher_language":"ja"}]},"item_2_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":["publisher"],"subitem_select_language":"en"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"磯部, 煕郎","creatorNameLang":"ja"}],"nameIdentifiers":[{"nameIdentifier":"32233","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":"2016-11-22"}],"displaytype":"detail","filename":"5-1-10.pdf","filesize":[{"value":"1.6 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"5-1-10.pdf","url":"https://kitami-it.repo.nii.ac.jp/record/6340/files/5-1-10.pdf"},"version_id":"440b5100-2a3d-4643-98b7-ae14050467b0"}]},"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":"Semi-ordered Vector Space のPositive Cone になるようなSemi-ordered Space について","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Semi-ordered Vector Space のPositive Cone になるようなSemi-ordered Space について","subitem_title_language":"en"}]},"item_type_id":"2","owner":"188","path":["27"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2007-04-09"},"publish_date":"2007-04-09","publish_status":"0","recid":"6340","relation_version_is_last":true,"title":["Semi-ordered Vector Space のPositive Cone になるようなSemi-ordered Space について"],"weko_creator_id":"188","weko_shared_id":-1},"updated":"2025-01-30T05:14:59.896878+00:00"}