{"_buckets": {"deposit": "a62f8b54-9da8-43f9-9ca0-255bcf489081"}, "_deposit": {"id": "6340", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "6340"}, "status": "published"}, "_oai": {"id": "oai:kitami-it.repo.nii.ac.jp:00006340", "sets": ["27"]}, "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"}]}, "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"}]}]}, "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_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"}]}]}, "item_2_publisher_32": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "北見工業大学"}]}, "item_2_select_15": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_select_item": "publisher"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "磯部, 煕郎"}], "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", "download_preview_message": "", "file_order": 0, "filename": "5-1-10.pdf", "filesize": [{"value": "1.6 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 1600000.0, "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"}]}, "item_type_id": "2", "owner": "1", "path": ["27"], "permalink_uri": "https://kitami-it.repo.nii.ac.jp/records/6340", "pubdate": {"attribute_name": "公開日", "attribute_value": "2007-04-09"}, "publish_date": "2007-04-09", "publish_status": "0", "recid": "6340", "relation": {}, "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_shared_id": 3}