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Nonlinear generalized Lie triple derivation on triangular algebras.
- Source :
- Communications in Algebra; 2017, Vol. 45 Issue 10, p4380-4395, 16p
- Publication Year :
- 2017
-
Abstract
- Letℛbe a commutative ring with identity and let𝔄 = Tri(𝒜,ℳ,ℬ) be a triangular algebra consisting of unital algebras𝒜,ℬoverℛand an (𝒜,ℬ)-bimoduleℳwhich is faithful as a left𝒜-module as well as a rightℬ-module. In this paper, we prove that under certain assumptions every nonlinear generalized Lie triple derivationGL:𝔄→𝔄is of the formGL = δ+τ, whereδ:𝔄→𝔄is an additive generalized derivation on𝔄andτis a mapping from𝔄into its center which annihilates all Lie triple products [[x,y],z]. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 45
- Issue :
- 10
- Database :
- Complementary Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 122715516
- Full Text :
- https://doi.org/10.1080/00927872.2016.1264586