Back to Search Start Over

Nonlinear generalized Lie triple derivation on triangular algebras.

Authors :
Ashraf, Mohammad
Jabeen, Aisha
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