{"created":"2021-03-01T07:10:57.868655+00:00","id":32277,"links":{},"metadata":{"_buckets":{"deposit":"d9ecdcf1-0672-4030-8882-4b3b0a8fc01d"},"_deposit":{"id":"32277","owners":[],"pid":{"revision_id":0,"type":"depid","value":"32277"},"status":"published"},"_oai":{"id":"oai:tsukuba.repo.nii.ac.jp:00032277","sets":["117:2135","3:62:5591:2944"]},"item_5_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2015-01","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"39","bibliographicPageStart":"28","bibliographicVolumeNumber":"26","bibliographic_titles":[{"bibliographic_title":"Indagationes mathematicae"}]}]},"item_5_creator_3":{"attribute_name":"著者別名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"秋山, 茂樹"}],"nameIdentifiers":[{},{},{}]}]},"item_5_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"A complex number αα is said to satisfy the height reducing property if there is a finite set F⊂ZF⊂Z such that Z[α]=F[α]Z[α]=F[α], where ZZ is the ring of the rational integers. It is easy to see that αα is an algebraic number when it satisfies the height reducing property. We prove the relation Card(F)≥max{2,|Mα(0)|}Card(F)≥max{2,|Mα(0)|}, where MαMα is the minimal polynomial of αα over the field of the rational numbers, and discuss the related optimal cases, for some classes of algebraic numbers αα. In addition, we show that there is an algorithm to determine the minimal height polynomial of a given algebraic number, provided it has no conjugate of modulus one.","subitem_description_type":"Abstract"}]},"item_5_publisher_27":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Elsevier B.V."}]},"item_5_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1016/j.indag.2014.07.002","subitem_relation_type_select":"DOI"}}]},"item_5_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2014 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V."},{"subitem_rights":"NOTICE: this is the author’s version of a work that was accepted for publication in Indagationes mathematicae. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Indagationes mathematicae, 26, 1, 2015, DOI:10.1016/j.indag.2014.07.002"}]},"item_5_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"author"}]},"item_5_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0019-3577","subitem_source_identifier_type":"ISSN"}]},"item_5_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11934317","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Akiyama, Shigeki"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Thuswaldner, Jörg M."}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Zaïmi, Toufik"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2015-02-16"}],"displaytype":"detail","filename":"IM_26-1-28.pdf","filesize":[{"value":"361.0 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"IM_26-1-28","url":"https://tsukuba.repo.nii.ac.jp/record/32277/files/IM_26-1-28.pdf"},"version_id":"74e8103f-c0a8-4b66-acba-98ac1efcc5b2"}]},"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":"Comments on the height reducing property II","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Comments on the height reducing property II"}]},"item_type_id":"5","owner":"1","path":["2135","2944"],"pubdate":{"attribute_name":"公開日","attribute_value":"2015-02-09"},"publish_date":"2015-02-09","publish_status":"0","recid":"32277","relation_version_is_last":true,"title":["Comments on the height reducing property II"],"weko_creator_id":"1","weko_shared_id":5},"updated":"2022-04-27T09:00:32.648675+00:00"}