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対称変換カンドルとそれに関連するカンドルの性質
https://doi.org/10.14988/pa.2017.0000016912
https://doi.org/10.14988/pa.2017.00000169122341a1b0-08ce-4e24-b89b-da0c8cc1b873
名前 / ファイル | ライセンス | アクション |
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023058040007.pdf (498.1 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||||
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公開日 | 2018-02-14 | |||||||||||
タイトル | ||||||||||||
言語 | ja | |||||||||||
タイトル | 対称変換カンドルとそれに関連するカンドルの性質 | |||||||||||
タイトル | ||||||||||||
言語 | ja-Kana | |||||||||||
タイトル | タイショウ ヘンカン カンドル ト ソレ ニ カンレン スル カンドル ノ セイシツ | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | Properties of a reflection quandle and related quandles | |||||||||||
言語 | ||||||||||||
言語 | jpn | |||||||||||
キーワード | ||||||||||||
主題 | 結び目, カンドル, 対称変換 knot, quandle, reflection |
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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 | |||||||||||
ID登録 | ||||||||||||
ID登録 | 10.14988/pa.2017.0000016912 | |||||||||||
ID登録タイプ | JaLC | |||||||||||
アクセス権 | ||||||||||||
アクセス権 | open access | |||||||||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||||
著者 |
笠松, 朋晃
× 笠松, 朋晃× 河野, 明
WEKO
22732
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著者所属 | ||||||||||||
ja | ||||||||||||
笠松, 朋晃 / Department of Mathematical Sciences, Faculty of Science and Engineering, Doshisha University | ||||||||||||
著者所属 | ||||||||||||
ja | ||||||||||||
河野, 明 / 同志社大学理工学部数理システム学科教授 | ||||||||||||
著者所属(英) | ||||||||||||
en | ||||||||||||
Doshisha University | ||||||||||||
所属機関識別子種別 | ||||||||||||
値 | kakenhi | |||||||||||
所属機関識別子 | ||||||||||||
値 | 34310 | |||||||||||
抄録 | ||||||||||||
内容記述タイプ | Abstract | |||||||||||
内容記述 | 結び目の不変量を考えるときにカンドルという代数系を用いる. A. Inoue は RotE^2 による結び目の彩色を考えて研究した. ここで RotE^2 とは適切な2項演算をもつ, ユークリッド平面の回転運動全体からなる, 回転運動カンドルのことである. この論文では, 回転運動を生成できる, ユークリッド平面の対称変換全体からなるカンドルを考える. さらに直線と, x 軸とそれらの直線のなす角を考え, これらのカンドルによる結び目の彩色を研究する. | |||||||||||
言語 | ja | |||||||||||
抄録 | ||||||||||||
内容記述タイプ | Abstract | |||||||||||
内容記述 | A quandle, which is an algebraic system, is used when one considers some knot invariants. A. Inoue considered and studied coloring of knots by RotE^2, where RotE^2 is the rotation quandle consisting of all rotations of the Euclidean plane with a suitable binary operation. In this paper, we consider the quandle cosisting of all reflections of the Euclidean plane, which generates RotE^2. Then we consider the quandles of lines and angles formed by the x-axis and those lines. We study coloring of knots by these quandles. | |||||||||||
言語 | en | |||||||||||
内容記述 | ||||||||||||
内容記述タイプ | Other | |||||||||||
内容記述 | 抄録1,2の^2は上付き文字 | |||||||||||
言語 | ja | |||||||||||
書誌情報 |
ja : 同志社大学ハリス理化学研究報告 en : The Harris science review of Doshisha University 巻 58, 号 4, p. 209-215, 発行日 2018-01-31 |
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出版者 | ||||||||||||
言語 | ja | |||||||||||
出版者 | 同志社大学ハリス理化学研究所 | |||||||||||
出版者(英) | ||||||||||||
言語 | en | |||||||||||
出版者 | Harris Science Research Institute of Doshisha University | |||||||||||
ISSN | ||||||||||||
収録物識別子タイプ | PISSN | |||||||||||
収録物識別子 | 21895937 | |||||||||||
書誌レコードID | ||||||||||||
収録物識別子タイプ | NCID | |||||||||||
収録物識別子 | AA12716107 | |||||||||||
権利者情報 | ||||||||||||
権利者名 | 同志社大学ハリス理化学研究所 | |||||||||||
言語 | ja | |||||||||||
権利者名 | Harris Science Research Institute of Doshisha University | |||||||||||
言語 | en | |||||||||||
関連サイト | ||||||||||||
関連タイプ | isFormatOf | |||||||||||
識別子タイプ | URI | |||||||||||
関連識別子 | https://doors.doshisha.ac.jp/opac/opac_link/bibid/SB12902196/?lang=0 | |||||||||||
言語 | ja | |||||||||||
関連名称 | 掲載刊行物所蔵情報へのリンク / Link to Contents | |||||||||||
フォーマット | ||||||||||||
内容記述タイプ | Other | |||||||||||
内容記述 | application/pdf | |||||||||||
出版タイプ | ||||||||||||
出版タイプ | VoR | |||||||||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||
日本十進分類法 | ||||||||||||
主題 | 415.7 |