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Generalized derivations on Lie ideals in prime rings
Derivations Lie ideals generalized derivations centralizing mappings prime rings
2011/4/6
Let R be a prime ring with characteristic different from two, U a nonzero Lie ideal of R and f be a generalized derivation associated with d. We prove the following results: (i) If [u,f(u)] \in Z, for...
Let R be a prime ring. Let s , t be two homomorphisms and d be a (s,t)-derivation of R. The purpose of this paper is to prove two results: (i) If char R \neq 2, U is a non-zero ideal of R, s is subjec...
In this paper, we proved some results for one-sided (s, t)-Lie ideals in prime rings.
Let R be a prime ring of characteristic 3, s and t automorphisms of R, U a non zero ( s, t) - Lie ideal of R, d a nonzero derivation of R such that sd = ds , td = dt,d(U) (bak) U, and d2(U) (bak) Z, t...
Let R be a prime ring, char R\neq 2,3 \, s, t : R\rightarrow R two automorphisms, U a nonzero (s, t)- Lie ideal of R and o\neq d : R\rightarrow R a derivation such that s d = ds, t d = dt. In this pap...