학술논문
An identity with generalized skew derivations on Lie ideals
Document Type
Original Paper
Source
Rendiconti del Circolo Matematico di Palermo Series 2. 73(1):455-463
Subject
Language
English
ISSN
0009-725X
1973-4409
1973-4409
Abstract
Let SLS,FSF(ηω)±F(ω)F(η)±ωη∈Z(S)η,ω∈LF(η)=aηa∈CS=M2(C)C be a prime ring of characteristic different from 2, SLS,FSF(ηω)±F(ω)F(η)±ωη∈Z(S)η,ω∈LF(η)=aηa∈CS=M2(C)C a non-central Lie ideal of SLS,FSF(ηω)±F(ω)F(η)±ωη∈Z(S)η,ω∈LF(η)=aηa∈CS=M2(C)C a generalized skew derivation of SLS,FSF(ηω)±F(ω)F(η)±ωη∈Z(S)η,ω∈LF(η)=aηa∈CS=M2(C)C such that SLS,FSF(ηω)±F(ω)F(η)±ωη∈Z(S)η,ω∈LF(η)=aηa∈CS=M2(C)C for all SLS,FSF(ηω)±F(ω)F(η)±ωη∈Z(S)η,ω∈LF(η)=aηa∈CS=M2(C)C. Then either SLS,FSF(ηω)±F(ω)F(η)±ωη∈Z(S)η,ω∈LF(η)=aηa∈CS=M2(C)C with SLS,FSF(ηω)±F(ω)F(η)±ωη∈Z(S)η,ω∈LF(η)=aηa∈CS=M2(C)C or SLS,FSF(ηω)±F(ω)F(η)±ωη∈Z(S)η,ω∈LF(η)=aηa∈CS=M2(C)C, where SLS,FSF(ηω)±F(ω)F(η)±ωη∈Z(S)η,ω∈LF(η)=aηa∈CS=M2(C)C is a finite field of characteristic 3.