Generalized *-Lie Higher Derivable Mappings on *-Rings

• 作者: Mohammad Ashraf Mohd Shuaib Akhtar Bilal Ahmad Wani
• 来源期刊: 代数集刊（英文版）
• 年，卷（期）: 2020,（3）
• 页码范围: 415-432
• 页数: 18页
• 语种: 英文
• DOI: 10.1142/S1005386720000346

摘要

Let R be a *-ring with the center Z(R) and N be the set of nonnegative integers.In this paper,it is shown that if R contains a nontrivial self-adjoint idempotent which admits a generalized *-Lie higher derivable mapping △ ={Gn }n∈N associated with a *-Lie higher derivable mapping (S) ={Ln}n∈N,then for any X,Y in R and for each n in N there exists an element ZX,Y (depending on X and Y) in the center Z(R) such that Gn(X + Y) =Gn(X) + Gn(Y) + ZX,Y.