Back to Search
Start Over
Commuting multiplicative generalized derivations on Lie ideals of semiprime rings
- Source :
- Gulf Journal of Mathematics. 6
- Publication Year :
- 2018
- Publisher :
- Gulf Journal of Mathematics, 2018.
-
Abstract
- Let R be a semiprime ring with characteristic different from two and L a noncentral square-closed Lie ideal of R. Suppose that R admits a multiplicative generalized derivation (F,d) satisfying d(L) ⊆ L. In the present paper, we shall prove that d is commuting on L if one of the following conditions holds: (i) F([x,y]) = ∓ [x,d(y)]; (ii) F(x ∘ y) = ∓ (x ∘ d(y)); (iii) F([x,y]) = ∓ (F(y)x); (iv) F([x,y]) = ∓ (F(x)y); (v) F(x ∘ y) = ∓ (F(y)x); (vi) F(x ∘ y) = ∓ (F(x)y) for all x,y ∈ L.
Details
- ISSN :
- 23094966
- Volume :
- 6
- Database :
- OpenAIRE
- Journal :
- Gulf Journal of Mathematics
- Accession number :
- edsair.doi...........c7acd189ee65ab009e83f99c3d9be12c