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Characterisation of the numbers which satisfy the height reducing property
http://hdl.handle.net/2241/00123144
http://hdl.handle.net/2241/00123144465b01a3-fca4-4931-8f71-1715b650dddf
名前 / ファイル | ライセンス | アクション |
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IM_26-1-24 (99.0 kB)
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Item type | Journal Article(1) | |||||
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公開日 | 2015-02-09 | |||||
タイトル | ||||||
タイトル | Characterisation of the numbers which satisfy the height reducing property | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Akiyama, Shigeki
× Akiyama, Shigeki× Thuswaldner, Jörg M.× Zaïmi, Toufik |
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著者別名 |
秋山, 茂樹
× 秋山, 茂樹 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let αα be a complex number. We show that there is a finite subset FF of the ring of the rational integers ZZ, such that F[α]=Z[α]F[α]=Z[α], if and only if αα is an algebraic number whose conjugates, over the field of the rationals, are all of modulus one, or all of modulus greater than one. This completes the answer to a question, on the numbers satisfying the height reducing property, posed in Akiyama and Zaïmi (2013). | |||||
書誌情報 |
Indagationes mathematicae 巻 26, 号 1, p. 24-27, 発行日 2015-01 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0019-3577 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11934317 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1016/j.indag.2014.03.003 | |||||
権利 | ||||||
権利情報 | © 2014 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. | |||||
権利 | ||||||
権利情報 | 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.2014.03.003 | |||||
著者版フラグ | ||||||
値 | author | |||||
出版者 | ||||||
出版者 | Elsevier B.V. |