Mathematics > Home > Advances in Pure and Applied Mathematics > Issue 1 (May 2020) > Article
Mohammad Ashraf
Aligarh Muslim University
India
Mohd Shuaib Akhtar
Aligarh Muslim University
India
Bilal Ahmad Wani
Aligarh Muslim University
India
Published on 3 July 2020 DOI : 10.21494/ISTE.OP.2020.0554
In this paper, it is shown that, if R is a ∗-ring containing a nontrivial self adjoint idempotent which admits a ∗-Lie higher derivable mapping L={Ln}n∈N, then there exists an element ZX,Y (depending on X and Y) in the center Z(R) such that Ln(X+Y)=Ln(X)+Ln(Y)+ZX,Y.
In this paper, it is shown that, if R is a ∗-ring containing a nontrivial self adjoint idempotent which admits a ∗-Lie higher derivable mapping L={Ln}n∈N, then there exists an element ZX,Y (depending on X and Y) in the center Z(R) such that Ln(X+Y)=Ln(X)+Ln(Y)+ZX,Y.
Derivation higher derivation ∗-derivation ∗-Lie derivable mappings ∗-Lie higher derivable mappings
Derivation higher derivation ∗-derivation ∗-Lie derivable mappings ∗-Lie higher derivable mappings