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Notes on Automorphisms of Prime Rings

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【作者】 Huang Shu-liangDu Xian-kun

【Author】 Huang Shu-liang;Du Xian-kun;Department of Mathematics, Chuzhou University;

【机构】 Department of Mathematics, Chuzhou University

【摘要】 Let R be a prime ring, L a noncentral Lie ideal and σ a nontrivial automorphism of R such that usσ(u)ut= 0 for all u ∈ L, where s, t are fixed non-negative integers. If either char R > s + t or char R = 0, then R satisfies s4, the standard identity in four variables. We also examine the identity(σ([x, y])-[x, y])n=0 for all x, y ∈ I, where I is a nonzero ideal of R and n is a fixed positive integer. If either char R > n or char R = 0, then R is commutative.

【基金】 The NSF(1408085QA08) of Anhui Province;the Natural Science Research Foundation(KJ2014A183) of Anhui Provincial Education Department;Anhui Province College Excellent Young Talents Fund Project(2012SQRL155) of China
  • 【DOI】10.13447/j.1674-5647.2015.03.01
  • 【分类号】O153.3
  • 【下载频次】13
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