NOTES ON (σ, τ)-DERIVATIONS OF LIE IDEALS IN PRIME RINGS

Oznur Golbasi, Seda Oguz
2012 Communications of the Korean Mathematical Society  
Let R be a prime ring with center Z and characteristic different from two, U a nonzero Lie ideal of R such that u 2 ∈ U for all u ∈ U and d be a nonzero (σ, τ )-derivation of R. We prove the following results: u, v]σ,τ for all u ∈ U, then U ⊆ Z.
doi:10.4134/ckms.2012.27.3.441 fatcat:7id3r4h3ifebxna3ac2ftclxua