An identity with generalized skew derivations on Lie ideals.

Autor: ur Rehman, Nadeem, Nisar, Junaid, Raza, Mohd Arif
Zdroj: Rendiconti del Circolo Matematico di Palermo (Series 2); Feb2024, Vol. 73 Issue 1, p455-463, 9p
Abstrakt: Let S be a prime ring of characteristic different from 2, L a non-central Lie ideal of S , F a generalized skew derivation of S such that F (η ω) ± F (ω) F (η) ± ω η ∈ Z (S) for all η , ω ∈ L . Then either F (η) = a η with a ∈ C or S = M 2 (C) , where C is a finite field of characteristic 3. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index