WEKO3
アイテム
{"_buckets": {"deposit": "a17bcf01-a990-4cea-99b8-f46109fe7df5"}, "_deposit": {"created_by": 3, "id": "7017", "owners": [3], "pid": {"revision_id": 0, "type": "depid", "value": "7017"}, "status": "published"}, "_oai": {"id": "oai:ynu.repo.nii.ac.jp:00007017", "sets": ["671"]}, "author_link": ["30008"], "item_6_biblio_info_8": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2006", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "1", "bibliographicPageEnd": "81", "bibliographicPageStart": "75", "bibliographicVolumeNumber": "53", "bibliographic_titles": [{"bibliographic_title": "Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学"}]}]}, "item_6_description_17": {"attribute_name": "フォーマット", "attribute_value_mlt": [{"subitem_description": "application/pdf", "subitem_description_type": "Other"}]}, "item_6_description_5": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "Let $p$ be an odd prime number, $F$ a number field, and $K=F(¥zeta_{p})$ . We say that $F_{8}atisfie8$ the condition $(A_{p})$ when any tame cyclic extension $N/F$ of degree $p$ has a normal integral basis (NIB for short), and that it satisfies $(B_{p})$ when for any $a¥in F^{X}$ , the cyclic extension $K(a^{1/p})/K$ has a NIB if it is tame. We prove that $F$ satisfies $(A_{p})$ only when it satisfies $(B_{p})$ under the assumption that the Stickelberger ideal associated to the Galois group $Ga1(K/F)$ is \"trivial\".", "subitem_description_type": "Abstract"}]}, "item_6_publisher_35": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "Yokohama City University and Yokohama National University"}]}, "item_6_source_id_11": {"attribute_name": "書誌レコードID", "attribute_value_mlt": [{"subitem_source_identifier": "AA0089285X", "subitem_source_identifier_type": "NCID"}]}, "item_6_source_id_9": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "00440523", "subitem_source_identifier_type": "ISSN"}]}, "item_6_text_4": {"attribute_name": "著者所属", "attribute_value_mlt": [{"subitem_text_value": "Faculty of Science, Ibaraki University, Bunkyo 2-1-1, Mito, Ibaraki, 310-8512,Japan"}]}, "item_6_version_type_18": {"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": "Ichimura, Humio"}], "nameIdentifiers": [{"nameIdentifier": "30008", "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": "2016-09-26"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "YMJ_53_N1_2006_075-081.pdf", "filesize": [{"value": "683.6 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 683600.0, "url": {"label": "YMJ_53_N1_2006_075-081.pdf", "url": "https://ynu.repo.nii.ac.jp/record/7017/files/YMJ_53_N1_2006_075-081.pdf"}, "version_id": "c8d5bd2a-7e24-4f54-a45f-dcea7519c85b"}]}, "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": "NORMAL INTEGRAL BASES AND RAY CLASS GROUPS, II", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "NORMAL INTEGRAL BASES AND RAY CLASS GROUPS, II"}]}, "item_type_id": "6", "owner": "3", "path": ["671"], "permalink_uri": "http://hdl.handle.net/10131/5781", "pubdate": {"attribute_name": "公開日", "attribute_value": "2009-12-15"}, "publish_date": "2009-12-15", "publish_status": "0", "recid": "7017", "relation": {}, "relation_version_is_last": true, "title": ["NORMAL INTEGRAL BASES AND RAY CLASS GROUPS, II"], "weko_shared_id": 3}
NORMAL INTEGRAL BASES AND RAY CLASS GROUPS, II
http://hdl.handle.net/10131/5781
http://hdl.handle.net/10131/5781b470d93d-2fc9-4848-a243-b0b52e23ad37
名前 / ファイル | ライセンス | アクション |
---|---|---|
YMJ_53_N1_2006_075-081.pdf (683.6 kB)
|
|
Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2009-12-15 | |||||
タイトル | ||||||
タイトル | NORMAL INTEGRAL BASES AND RAY CLASS GROUPS, II | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
著者 |
Ichimura, Humio
× Ichimura, Humio |
|||||
著者所属 | ||||||
Faculty of Science, Ibaraki University, Bunkyo 2-1-1, Mito, Ibaraki, 310-8512,Japan | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let $p$ be an odd prime number, $F$ a number field, and $K=F(¥zeta_{p})$ . We say that $F_{8}atisfie8$ the condition $(A_{p})$ when any tame cyclic extension $N/F$ of degree $p$ has a normal integral basis (NIB for short), and that it satisfies $(B_{p})$ when for any $a¥in F^{X}$ , the cyclic extension $K(a^{1/p})/K$ has a NIB if it is tame. We prove that $F$ satisfies $(A_{p})$ only when it satisfies $(B_{p})$ under the assumption that the Stickelberger ideal associated to the Galois group $Ga1(K/F)$ is "trivial". | |||||
書誌情報 |
Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学 巻 53, 号 1, p. 75-81, 発行日 2006 |
|||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00440523 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA0089285X | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
出版者 | Yokohama City University and Yokohama National University |