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請使用永久網址來引用或連結此文件:
http://ir.ncue.edu.tw/ir/handle/987654321/15015
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| 題名: | An Engel Condition with Skew Derivations |
| 作者: | Chou, Ming-Chu;Liu, Cheng-Kai |
| 貢獻者: | 數學系 |
| 關鍵詞: | Prime ring;Lie ideal;Automorphism;Skew derivation;Generalized polynomial identity (GPI) |
| 日期: | 2009-11
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| 上傳時間: | 2013-01-07T01:43:54Z
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| 出版者: | SpringerLink |
| 摘要: | Let R be a prime ring and set [x, y]1 = [x, y] = xy − yx for x, y ∈ R
and inductively [x, y]k = [[x, y]k−1, y] for k > 1.We apply the theory of generalized
polynomial identitieswith automorphisms and skewderivations to obtain the following
result: If δ is a nonzero σ-derivation of R and L is a noncommutative Lie ideal of R so
that [δ(x), x]k = 0 for all x ∈ L, where k is a fixed positive integer, then charR = 2
and R ⊆ M2(F) for some field F. This result generalizes the case of derivations by
Lanski and also the case of automorphisms by Mayne. |
| 關聯: | Monatshefte fur Mathematik, 158(3): 259-270 |
| 顯示於類別: | [數學系] 期刊論文
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