https://scholars.lib.ntu.edu.tw/handle/123456789/30950
Title: | 質環上的李導算 Lie Derivations of Prime Rings |
Authors: | 李治廣 Lee, Chih-Kuang |
Keywords: | 質環;導算;李導算;弱李導算;左極大商環;Pring ring;Derivation;Lie derivation;Weak Lie Derivation;Maximal left ring of quotients | Issue Date: | 2016 | Abstract: | 令 R 是一個質環,Q_ml (R) 為其左極大商環,滿足 char R = 2 與 dim_C RC=4。令 δ∶ R→ Q_ml (R) 是一個李導算。則我們證明對每個 x∈R,δ(x)=d(x)+ϕ(x)+W(x)+ν(x) 其中 d∶ R→Q_ml (R) 是一個導算,ϕ∶ R→Q_ml (R) 是一個特殊形式的李導算,W∶ R→Q_ml (R) 是一個特殊形式的弱李導算,ν∶ R→C 是一個加性函數並滿足一個特別的關係式。 Let R be a prime ring with extended centroid C and maximal left ring of quotients Q_ml (R). Let δ∶ R→ Q_ml (R) be a Lie derivation. Suppose that charR=2 and dim_C RC=4. It is proved that δ(x)=d(x)+ϕ(x)+W(x)+ν(x) for all x∈R, where d∶ R→Q_ml (R) is a derivation, ϕ∶ R→Q_ml (R) is a Lie derivation of a special form, W∶ R→Q_ml (R) is a weak Lie derivation of a special form, and ν∶ R→C is an additive map satisfying a specific relation. |
URI: | http://ntur.lib.ntu.edu.tw//handle/246246/276895 | DOI: | 10.6342/NTU201601070 | Rights: | 論文公開時間: 2016/7/26 論文使用權限: 同意有償授權(權利金給回饋學校) |
Appears in Collections: | 數學系 |
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ntu-105-R02221013-1.pdf | 23.54 kB | Adobe PDF | View/Open |
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