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| 研究生： |
張浩原 Jang, Hau-Yuan |
|---|---|
| 論文名稱： |
最大右環商與質環上的李同構 on maximal right rings of quotients and Lie isomorphisms of prime rings |
| 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： | 2022 |
| 畢業學年度： | 110 |
| 語文別： | 英文 |
| 論文頁數： | 68 |
| 中文關鍵詞： | 環商 、李同構 |
| 外文關鍵詞： | rings of quotient, Lie isomorphism |
| 相關次數： | 點閱：101 下載：33 |
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令 R 是一個左零化子為零的環。在這種情況下，我們可以構造一個包含 R 的更大的環， Qmr(R)。在本文中，我們討論了 Qmr(R) 的一些性質，提供了一些相關的例子，並回顧了 Martindale 以此一結構在質環上的李同構的經典應用。
Let R be a ring with zero left annihilator. In this case, one can construct a larger ring Qmr(R) which contains R. In this thesis, we discuss some properties of Qmr(R), provide some pertinent examples, and review a classical application to Lie isomorphisms on prime rings made by Martindale.
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