{"created":"2023-06-20T14:20:56.693687+00:00","id":712,"links":{},"metadata":{"_buckets":{"deposit":"f3bcce0b-0171-4a1f-afff-a1946eb3ab53"},"_deposit":{"created_by":3,"id":"712","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"712"},"status":"published"},"_oai":{"id":"oai:aue.repo.nii.ac.jp:00000712","sets":["6:74:89"]},"author_link":["334","333","302"],"item_3_biblio_info_7":{"attribute_name":"書誌事項","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2002-03-01","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"3","bibliographicPageStart":"1","bibliographicVolumeNumber":"51","bibliographic_titles":[{"bibliographic_title":"愛知教育大学研究報告. 自然科学"}]}]},"item_3_description_27":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"text","subitem_description_type":"Other"}]},"item_3_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let R be a Noetherian domain and α an anti-integral element of degree t over R. Let a, b, c and d be elements of R such that ad-be is a unit of R and aα-b is not zero. Set β = (cα-d)/(aα-b). In this paper, we prove that β is also an anti-integral element of degree t over R and J_<[α]>=J_<[β]>. By making use of J_<[α]>=J_<[β]>, we prove that R[α]/R is a flat extension if and only if so is R[β]/R.  Furthermore, we investigate a generalized denominator ideal I_<[β]>.","subitem_description_type":"Abstract"}]},"item_3_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"愛知教育大学"}]},"item_3_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN0000681X","subitem_source_identifier_type":"NCID"}]},"item_3_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0365-3722","subitem_source_identifier_type":"ISSN"}]},"item_3_text_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"subitem_text_value":"愛知教育大学研究報告, 自然科学編. 2002, 51, p.1-3."}]},"item_3_text_26":{"attribute_name":"著者別名","attribute_value_mlt":[{"subitem_text_value":"カネミツ, ミツオ"},{"subitem_text_value":"ババ, キヨシ"},{"subitem_text_value":"ヨシダ, ケンイチ"},{"subitem_text_value":"Yoshida, Kenichi"}]},"item_3_text_4":{"attribute_name":"著者(別言語)","attribute_value_mlt":[{"subitem_text_value":"金光, 三男"},{"subitem_text_value":"馬場, 清"},{"subitem_text_value":"吉田, 憲一"}]},"item_3_version_type_14":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Kanemitsu, Mitsuo"}],"nameIdentifiers":[{"nameIdentifier":"302","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"60024014","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=60024014"},{"nameIdentifier":"60024014","nameIdentifierScheme":"KAKEN - 研究者検索","nameIdentifierURI":"https://nrid.nii.ac.jp/ja/nrid/1000060024014/"}]},{"creatorNames":[{"creatorName":"Baba, Kiyoshi"}],"nameIdentifiers":[{"nameIdentifier":"334","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"80136770","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=80136770"},{"nameIdentifier":"80136770","nameIdentifierScheme":"KAKEN - 研究者検索","nameIdentifierURI":"https://nrid.nii.ac.jp/ja/nrid/1000080136770/"}]},{"creatorNames":[{"creatorName":"Yoshida, Ken-ichi"}],"nameIdentifiers":[{"nameIdentifier":"333","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"60028264","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=60028264"},{"nameIdentifier":"60028264","nameIdentifierScheme":"KAKEN - 研究者検索","nameIdentifierURI":"https://nrid.nii.ac.jp/ja/nrid/1000060028264/"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-03-27"}],"displaytype":"detail","filename":"kenshi5113.pdf","filesize":[{"value":"48.8 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"kenshi5113.pdf","url":"https://aue.repo.nii.ac.jp/record/712/files/kenshi5113.pdf"},"version_id":"46da565d-82de-4a60-8401-8036a6e1f254"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Noetherian domains","subitem_subject_scheme":"Other"},{"subitem_subject":"ネーター整域","subitem_subject_scheme":"Other"},{"subitem_subject":"anti-integral extension","subitem_subject_scheme":"Other"},{"subitem_subject":"反整的拡大","subitem_subject_scheme":"Other"},{"subitem_subject":"flat extension","subitem_subject_scheme":"Other"},{"subitem_subject":"平坦拡大","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":"Linear Fractional Transforms of an Anti-integral Element over a Noetherian Domain","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Linear Fractional Transforms of an Anti-integral Element over a Noetherian Domain","subitem_title_language":"en"}]},"item_type_id":"3","owner":"3","path":["89"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-12-01"},"publish_date":"2008-12-01","publish_status":"0","recid":"712","relation_version_is_last":true,"title":["Linear Fractional Transforms of an Anti-integral Element over a Noetherian Domain"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-06-20T16:51:13.745452+00:00"}