National Changhua University of Education Institutional Repository : Item 987654321/15020
English  |  正體中文  |  简体中文  |  全文笔数/总笔数 : 6507/11669
造访人次 : 29712506      在线人数 : 321
RC Version 3.2 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
搜寻范围 进阶搜寻

jsp.display-item.identifier=請使用永久網址來引用或連結此文件: http://ir.ncue.edu.tw/ir/handle/987654321/15020

题名: Strong Commutativity Preserving Generalized Derivations on Lie Ideals
作者: Liu, Cheng-Kai;Liau, Pao-Kuei
贡献者: 數學系
关键词: Prime ring;Generalized derivation;Strong commutativity preserving
日期: 2011
上传时间: 2013-01-07T01:44:08Z
出版者: Taylor&Francis
摘要: We apply elementary matrix computations and the theory of differential identities to prove the following: let R be a prime ring with extended centroid C and L a noncommutative Lie ideal of R. Suppose that f : L → R is a map and g is a generalized derivation of R such that [f(x), g(y)] = [x, y] for all x, y  L. Then there exist a nonzero α  C and a map μ : L → C such that g(x) = αx for all x  R and f(x) = α−1 x + μ(x) for all x  L, except when R  M 2(F), the 2 × 2 matrix ring over a field F.
關聯: Linear and Multilinear Algebra, 59(8): 905-915
显示于类别:[數學系] 期刊論文

文件中的档案:

档案 大小格式浏览次数
2020101910021.pdf44KbAdobe PDF540检视/开启


在NCUEIR中所有的数据项都受到原著作权保护.

 


DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - 回馈