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特征为2的素环的Lie理想上中心化自同构
引用本文:王宇,段学新.特征为2的素环的Lie理想上中心化自同构[J].东北数学,2005,21(2):227-232.
作者姓名:王宇  段学新
作者单位:Department of Mathematics,Harbin Institute of Technology,Harbin,150001,Department of Basic Educations,Siping Professional University,Siping,136000
摘    要:Let R be a prime ring with an automorphism σ≠1, an identity map. Let L be a noncentral Lie ideal of R such that x^σ,x] E Z for all x ∈ L, where Z is the center of R. Then L is contained in the center of R, unless char(R)=2 and dimc RC = 4.

关 键 词:自同构  素数环  李理想  非零导数

Centralizing Automorphisms of Lie Ideals in Prime Rings of Characteristic 2
WANG Yu,DUAN Xue-xin.Centralizing Automorphisms of Lie Ideals in Prime Rings of Characteristic 2[J].Northeastern Mathematical Journal,2005,21(2):227-232.
Authors:WANG Yu  DUAN Xue-xin
Institution:[1]DepartmentofMathematics,HarbinInstituteofTechnology,Harbin,150001 [2]DepartmentofBasicEducations,SipingProfessionalUniversity,Siping,136000
Abstract:
Keywords:automorphism  prime ring  Lie ideal
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