An engel condition with automorphisms for left ideals

研究成果: Article同行評審

11 引文 斯高帕斯(Scopus)

摘要

Let R be a prime ring and L a nonzero left ideal of R. For x, y ∈ R, we denote [x, y] = xy-yx the commutator of x and y. In this paper, we prove that if R admits a non-identity automorphism σ such that [[...[[σ(x n0), xn1], xn2], ...], xnk] = 0 for all x ∈ L, where n0, n1, n2, ..., n k are fixed positive integers, then R is commutative. The analogous results for semiprime rings and von Neumann algebras are also obtained.

原文English
文章編號1350092
期刊Journal of Algebra and its Applications
13
發行號2
DOIs
出版狀態Published - 2014 三月 1

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Applied Mathematics

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