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一类代数上的弱可加交换映射

来源:用户上传      作者:霍东华

  摘要:設A是一个有单位元1的代数.称映射f:A→A是一个弱可加映射,如果满足对任意的x,y∈A,存在tx,y,sx,y∈IF使得f(x+y)=tx,yf(x)+sx,yf (y)成立.本文证明了在一定的假设下,如果,是交换映射,则存在Ao(x)∈4和一个从4到Z(A)的映射Ai,使得对所有的x∈A有f(x)=λ0(x)x+ λ1(x).作为应用,刻画了Mn (IF)上一类交换的弱可加映射.
  关键词:代数; 交换映射; 弱可加映射
  中图分类号:0152.2
  文献标志码:A
  DOI: 10.3969/j.issn.1000-5641.2019.04.001
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