{"created":"2021-03-01T05:58:39.778786+00:00","id":6229,"links":{},"metadata":{"_buckets":{"deposit":"6b28359b-dcf7-4b70-b4d8-76e6d9dc9690"},"_deposit":{"id":"6229","owners":[],"pid":{"revision_id":0,"type":"depid","value":"6229"},"status":"published"},"_oai":{"id":"oai:kitami-it.repo.nii.ac.jp:00006229","sets":["7:15:22"]},"item_2_alternative_title_18":{"attribute_name":"その他のタイトル","attribute_value_mlt":[{"subitem_alternative_title":"Ａ Ｎｏｔｅ ｏｎ Ｑｕｏｔｉｅｎｔ Ｓｐａｃｅｓ ｏｆ Ｓｅｍｉ-ｏｒｄｅｒｅｄ Ｌｉｎｅａｒ Ｓｐａｃｅｓ"}]},"item_2_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1969-02","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"478","bibliographicPageStart":"475","bibliographicVolumeNumber":"2","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 S be a linear lattice. A subset N is called ideal whenever N is a linear subspace of S and [x]＜__—[y], y∈N implies x∈N. L. Brown and H. Nakano obtained the following results in [2] : S/N is Archimedean if and only if N has the following property : 0＜__—u, v∈S and (v-1/nu)^+ ∈N (n=1,2,…) implies v∈N. In this note we do not assume lattice order in S. Let S be a semi-ordered linear space (not assume lattice order) and N is called ideal whenever N is linear subspace of S and a＜__—x＜__—b, a, b∈N implies x∈N. We shall investigate a condition about N that S/N is Arvhimadean.","subitem_description_type":"Abstract"}]},"item_2_full_name_3":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"31837","nameIdentifierScheme":"WEKO"}],"names":[{"name":"Kiro, ISOBE"}]}]},"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":"礒部, 煕郎"}],"nameIdentifiers":[{"nameIdentifier":"31836","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":"2-3-11.pdf","filesize":[{"value":"1.3 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"2-3-11.pdf","url":"https://kitami-it.repo.nii.ac.jp/record/6229/files/2-3-11.pdf"},"version_id":"d0c04add-6fec-4a6b-b106-3ba7a5e2c08f"}]},"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":"線形半順序空間の商空問に関する一注意","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"線形半順序空間の商空問に関する一注意"}]},"item_type_id":"2","owner":"1","path":["22"],"pubdate":{"attribute_name":"公開日","attribute_value":"2007-04-09"},"publish_date":"2007-04-09","publish_status":"0","recid":"6229","relation_version_is_last":true,"title":["線形半順序空間の商空問に関する一注意"],"weko_creator_id":"1","weko_shared_id":3},"updated":"2022-12-13T02:19:34.185583+00:00"}