WEKO3
アイテム
{"_buckets": {"deposit": "b0193f99-4f7f-4d32-9aee-56ab1386a8de"}, "_deposit": {"id": "35127", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "35127"}, "status": "published"}, "_oai": {"id": "oai:teapot.lib.ocha.ac.jp:00035127", "sets": ["580"]}, "item_11_biblio_info_8": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "1952-07", "bibliographicIssueDateType": "Issued"}, "bibliographicPageEnd": "9", "bibliographicPageStart": "5", "bibliographicVolumeNumber": "3", "bibliographic_titles": [{"bibliographic_title": "お茶の水女子大學自然科學報告"}]}]}, "item_11_description_17": {"attribute_name": "フォーマット", "attribute_value_mlt": [{"subitem_description": "application/pdf", "subitem_description_type": "Other"}]}, "item_11_description_46": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"subitem_description": "紀要論文", "subitem_description_type": "Other"}]}, "item_11_description_7": {"attribute_name": "内容記述", "attribute_value_mlt": [{"subitem_description": "A real-valued function V(a) of a field k is a non-archimedean valuation V of k, if the relations V(ab)=V(a)+V(b) and V(a+b)≧Min {V(a), V(b)} hold, where we put V(0)=∞. The set of all elements a with V(a)≧0 is the valution ring R in k. All elements a with V(a)\u003e0 form a prime ideal P in R. A polynomial f(x) with coefficients from R is called primitive, if among these coefficients there exists at least one unit. By Ostrowski the field k is termed relatively complete with respect to V, if Hensel\u0027s lemma holds for every primitive polynomial. The present note aims to reveal some characteristic properties of this field.", "subitem_description_type": "Other"}]}, "item_11_full_name_2": {"attribute_name": "著者(ヨミ)", "attribute_value_mlt": [{"nameIdentifiers": [{"nameIdentifier": "68879", "nameIdentifierScheme": "WEKO"}], "names": [{"name": "イナバ, エイジ"}]}]}, "item_11_publisher_36": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "お茶の水女子大学"}]}, "item_11_source_id_11": {"attribute_name": "書誌レコードID", "attribute_value_mlt": [{"subitem_source_identifier": "AN00033958", "subitem_source_identifier_type": "NCID"}]}, "item_11_source_id_9": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "00298190", "subitem_source_identifier_type": "ISSN"}]}, "item_11_subject_20": {"attribute_name": "日本十進分類法", "attribute_value_mlt": [{"subitem_subject": "400", "subitem_subject_scheme": "NDC"}]}, "item_11_text_18": {"attribute_name": "形態", "attribute_value_mlt": [{"subitem_text_value": "399013 bytes"}]}, "item_11_text_47": {"attribute_name": "資源タイプ・ローカル", "attribute_value_mlt": [{"subitem_text_value": "紀要論文"}]}, "item_11_text_48": {"attribute_name": "資源タイプ・NII", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "item_11_text_49": {"attribute_name": "資源タイプ・DCMI", "attribute_value_mlt": [{"subitem_text_value": "text"}]}, "item_11_text_50": {"attribute_name": "資源タイプ・ローカル表示コード", "attribute_value_mlt": [{"subitem_text_value": "03"}]}, "item_11_text_79": {"attribute_name": "所属", "attribute_value_mlt": [{"subitem_text_value": "Department of Mathematics, Faculty of Science, Ochanomizu University"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Inaba, Eizi"}], "nameIdentifiers": [{"nameIdentifier": "68878", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "稲葉, 栄次", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "68880", "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": "2018-04-19"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "KJ00004829298.pdf", "filesize": [{"value": "399.0 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 399000.0, "url": {"label": "KJ00004829298.pdf", "url": "https://teapot.lib.ocha.ac.jp/record/35127/files/KJ00004829298.pdf"}, "version_id": "1efd447d-4005-485d-806f-a7e340892aa6"}]}, "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": "Note on Relatively Complete Fields", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Note on Relatively Complete Fields"}]}, "item_type_id": "11", "owner": "1", "path": ["580"], "permalink_uri": "http://hdl.handle.net/10083/1955", "pubdate": {"attribute_name": "公開日", "attribute_value": "2008-04-30"}, "publish_date": "2008-04-30", "publish_status": "0", "recid": "35127", "relation": {}, "relation_version_is_last": true, "title": ["Note on Relatively Complete Fields"], "weko_shared_id": null}
Note on Relatively Complete Fields
http://hdl.handle.net/10083/1955
http://hdl.handle.net/10083/19557169c285-7172-446a-ac72-f8d387944dab
名前 / ファイル | ライセンス | アクション |
---|---|---|
KJ00004829298.pdf (399.0 kB)
|
|
Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2008-04-30 | |||||
タイトル | ||||||
タイトル | Note on Relatively Complete Fields | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Inaba, Eizi
× Inaba, Eizi× 稲葉, 栄次 |
|||||
著者(ヨミ) | ||||||
識別子 | 68879 | |||||
識別子Scheme | WEKO | |||||
姓名 | イナバ, エイジ | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | A real-valued function V(a) of a field k is a non-archimedean valuation V of k, if the relations V(ab)=V(a)+V(b) and V(a+b)≧Min {V(a), V(b)} hold, where we put V(0)=∞. The set of all elements a with V(a)≧0 is the valution ring R in k. All elements a with V(a)>0 form a prime ideal P in R. A polynomial f(x) with coefficients from R is called primitive, if among these coefficients there exists at least one unit. By Ostrowski the field k is termed relatively complete with respect to V, if Hensel's lemma holds for every primitive polynomial. The present note aims to reveal some characteristic properties of this field. | |||||
書誌情報 |
お茶の水女子大學自然科學報告 巻 3, p. 5-9, 発行日 1952-07 |
|||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00298190 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00033958 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
形態 | ||||||
399013 bytes | ||||||
日本十進分類法 | ||||||
主題Scheme | NDC | |||||
主題 | 400 | |||||
出版者 | ||||||
出版者 | お茶の水女子大学 | |||||
資源タイプ | ||||||
内容記述タイプ | Other | |||||
内容記述 | 紀要論文 | |||||
資源タイプ・ローカル | ||||||
紀要論文 | ||||||
資源タイプ・NII | ||||||
Departmental Bulletin Paper | ||||||
資源タイプ・DCMI | ||||||
text | ||||||
資源タイプ・ローカル表示コード | ||||||
03 | ||||||
所属 | ||||||
Department of Mathematics, Faculty of Science, Ochanomizu University |