{"created":"2023-06-19T09:36:00.978485+00:00","id":483,"links":{},"metadata":{"_buckets":{"deposit":"f2b6fed2-f49b-4d1c-99f9-5550ab2977ee"},"_deposit":{"created_by":16,"id":"483","owners":[16],"pid":{"revision_id":0,"type":"depid","value":"483"},"status":"published"},"_oai":{"id":"oai:mue.repo.nii.ac.jp:00000483","sets":["1:3:48"]},"author_link":["1481"],"item_10002_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016-01-29","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"107","bibliographicPageStart":"99","bibliographicVolumeNumber":"50","bibliographic_titles":[{"bibliographic_title":"宮城教育大学紀要"},{"bibliographic_title":"Bulletin of Miyagi University of Education","bibliographic_titleLang":"en"}]}]},"item_10002_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"　本稿では，高校数学の新課程で新しく登場した「整数の性質」について，素数の既約元性と素元性という2つの性質に焦点を当て，純粋数学的な観点から注意すべき事柄を述べる．また，これらの素数の性質の一つの発展した題材として，素イデアルによる分解とその一意性の出現，および，代数的整数論における類体論の一つの見方を概説する．\n　In this paper, we will mention a remarkable thing about the new curriculum ”property of the integers\" of high school mathematics, focusing on two properties of prime numbers, i.e., the properties as \"irreducible elements” and as \"prime elements\", from a purely mathematical point of view. In addition, we will explain unique factorization into prime ideals and the class field theory in algebraic number theory, as one of the development on ideas of prime numbers.","subitem_description_type":"Abstract"}]},"item_10002_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"宮城教育大学"}]},"item_10002_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13461621","subitem_source_identifier_type":"ISSN"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"田谷, 久雄"}],"nameIdentifiers":[{"nameIdentifier":"1481","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"9000314392436","nameIdentifierScheme":"CiNii ID","nameIdentifierURI":"http://ci.nii.ac.jp/nrid/9000314392436"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2016-02-01"}],"displaytype":"detail","filename":"bull.mue_50_099-107.pdf","filesize":[{"value":"9.1 MB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"高等学校数学での整数の性質についての注意","url":"https://mue.repo.nii.ac.jp/record/483/files/bull.mue_50_099-107.pdf"},"version_id":"a1892e75-a496-4b72-b9c9-72073116b037"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"高等学校数学","subitem_subject_scheme":"Other"},{"subitem_subject":"整数の性質","subitem_subject_scheme":"Other"},{"subitem_subject":"素数","subitem_subject_scheme":"Other"},{"subitem_subject":"素因数分解","subitem_subject_scheme":"Other"},{"subitem_subject":"類体論","subitem_subject_scheme":"Other"},{"subitem_subject":"high school mathematics","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"property of the integers","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"prime numbers","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"prime decomposition","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"class field theory","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"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":"高等学校数学での整数の性質についての注意：素数の定義と素因数分解およびその拡がり","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"高等学校数学での整数の性質についての注意：素数の定義と素因数分解およびその拡がり"},{"subitem_title":"On new curriculum ”property of the integers\" of high school mathematics : the definition of prime numbers, prime decomposition and its development","subitem_title_language":"en"}]},"item_type_id":"10002","owner":"16","path":["48"],"pubdate":{"attribute_name":"公開日","attribute_value":"2016-02-01"},"publish_date":"2016-02-01","publish_status":"0","recid":"483","relation_version_is_last":true,"title":["高等学校数学での整数の性質についての注意：素数の定義と素因数分解およびその拡がり"],"weko_creator_id":"16","weko_shared_id":-1},"updated":"2023-06-19T10:04:42.845159+00:00"}