{"created":"2024-11-22T06:32:50.946046+00:00","id":2008108,"links":{},"metadata":{"_buckets":{"deposit":"690ad7fa-2625-4e73-a350-92b94458bf14"},"_deposit":{"created_by":7,"id":"2008108","owners":[7],"pid":{"revision_id":0,"type":"depid","value":"2008108"},"status":"published"},"_oai":{"id":"oai:tokushima-u.repo.nii.ac.jp:02008108","sets":["1713853213384:1713853295607"]},"author_link":["200"],"control_number":"2008108","item_10001_alternative_title_1":{"attribute_name":"タイトル別表記","attribute_value_mlt":[{"subitem_alternative_title":"Normal integral basis of an unramified quadratic extension","subitem_alternative_title_language":"en"}]},"item_10001_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2017-01-02","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"345","bibliographicPageStart":"325","bibliographicVolumeNumber":"28","bibliographic_titles":[{"bibliographic_title":"Journal de Théorie des Nombres de Bordeaux","bibliographic_titleLang":"fr"}]}]},"item_10001_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let ℓ be an odd prime number. Let K/Q be a real cyclic extension of degree ℓ, AK the 2-part of the ideal class group of K, and H/K the class field corresponding to AK/A2K. Let Kn be the nth layer of the cyclotomic Z2-extension over K. We consider the questions (Q1) “does H/K has a normal integral basis?”, and (Q2) “if not, does the pushed-up extension HKn/Kn has a normal integral basis for some n≥1?” Under some assumptions on ℓ and K, we answer these questions in terms of the 2-adic L-function associated to the base field K. We also give some numerical examples.","subitem_description_language":"en","subitem_description_type":"Abstract"},{"subitem_description":"Soit ℓ un nombre premier impair. Soient K/Q une extension cyclique réelle de degré ℓ, AK la 2-partie du groupe des classes d’idéaux de K, et H/K le corps des classes correspondant à AK/A2K. Soit Kn la n-ème couche de la Z2-extension cyclotomique sur K. Nous considérons les questions (Q1) “existe-il une base intégrale normale pour H/K ?” et (Q2) “sinon, l’extension induite HKn/Kn a-t-elle une base intégrale normale pour un certain n≥1 ?” Sous quelques hypothèses sur ℓ et K, nous répondrons à ces questions en termes de la fonction L 2-adique associée au corps K de base. De plus, nous donnons quelques exemples numériques.","subitem_description_language":"fr","subitem_description_type":"Abstract"}]},"item_10001_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Institut de Mathématiques de Bordeaux","subitem_publisher_language":"fr"}]},"item_10001_source_id_9":{"attribute_name":"収録物ID","attribute_value_mlt":[{"subitem_source_identifier":"12467405","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"21188572","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"AA11061909","subitem_source_identifier_type":"NCID"}]},"item_10001_version_type_20":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_1715043197608":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access"}]},"item_1722929371688":{"attribute_name":"出版社版DOI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_language":"ja","subitem_relation_name_text":"10.5802/jtnb.942"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.5802/jtnb.942","subitem_relation_type_select":"DOI"}}]},"item_1723180141928":{"attribute_name":"EID","attribute_value_mlt":[{"subitem_identifier_type":"URI","subitem_identifier_uri":"314037"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"イチムラ, フミオ","creatorNameLang":"ja"},{"creatorName":"イチムラ, フミオ","creatorNameLang":"ja-Kana"},{"creatorName":"Ichimura, Humio","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"(隅田)高橋, 浩樹","creatorNameLang":"ja"}],"nameIdentifiers":[{"nameIdentifier":"200","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2020-09-17"}],"displaytype":"detail","filename":"jtnb_28_2_325.pdf","filesize":[{"value":"526 KB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://tokushima-u.repo.nii.ac.jp/record/2008108/files/jtnb_28_2_325.pdf"},"version_id":"aa62bf0b-74cf-4bab-98c2-42dad4fe676b"}]},"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":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Normal integral basis of an unramified quadratic extension over a cyclotomic Z2-extension","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Normal integral basis of an unramified quadratic extension over a cyclotomic Z2-extension","subitem_title_language":"en"}]},"item_type_id":"40001","owner":"7","path":["1713853295607"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2020-09-17"},"publish_date":"2020-09-17","publish_status":"0","recid":"2008108","relation_version_is_last":true,"title":["Normal integral basis of an unramified quadratic extension over a cyclotomic Z2-extension"],"weko_creator_id":"7","weko_shared_id":-1},"updated":"2024-12-19T23:56:40.497261+00:00"}