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| 研究生： |
黃久芳 Huang, Chiu-Fang |
|---|---|
| 論文名稱： |
分級模上的推廣Jacobson密度定理 Extended Jacobson Density Theorem for Graded Module |
| 指導教授： |
柯文峰
Ke, Wen-Fong |
| 學位類別： |
碩士 Master |
| 系所名稱： |
理學院 - 數學系應用數學碩博士班 Department of Mathematics |
| 論文出版年： | 2004 |
| 畢業學年度： | 92 |
| 語文別： | 英文 |
| 論文頁數： | 8 |
| 中文關鍵詞： | Jacobson密度定理 、分級環 |
| 外文關鍵詞： | Jacobson Density Theorem, Graded ring |
| 相關次數： | 點閱：208 下載：3 |
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We study the extended Jacobson Density Theorem for graded rings with graded local modules, and introduce the concept of a derivation d:A --> End(M_{D}) for graded rings,where M is a graded simle left A-module and D=End(_{A}M).
[1] K.I. Beidar and Matej Bresar, Extended Jacobson density theorem for rings with derivations and automorphisms,
Journal of Mathematics, 122(2001), 317-346.
[2] Liu Shaoxue, Margaret Beattie and Fang Hongjin, Graded division rings and the Jacobson density theorem,
Journal of Beijing Normal University, Vol.27(1991), No.2, 129-133.
[3] Jing-Whei Liang, Extended Jacobson density theorem and M-outer automorphisms for Graded rings,
Master thesis, National Cheng-Kung University, July 4, 2000.
[4] C. Nastasesscu and F. Van Oystaeyen, Graded ring theory, North-Holland, New York, 1982.
2005-06-02公開