Annihilators of Skew Derivations with Engel Conditions on Lie Ideals

Ming Chu Chou, Cheng-Kai Liu

研究成果: Article同行評審

2 引文 斯高帕斯(Scopus)

摘要

Let R be a prime ring, L a noncentral Lie ideal of R, and a ∈ R. 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. Suppose that δ is a nonzero σ-derivation of R such that a[δ(x), x]k = 0 for all x ∈ L, where σ is an automorphism of R and k is a fixed positive integer. Then a = 0 except when char R = 2 and R ⊆ M2(F), the 2 × 2 matrix ring over a field F.

原文English
頁(從 - 到)898-911
頁數14
期刊Communications in Algebra
44
發行號2
DOIs
出版狀態Published - 2016 二月 1

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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