Ashraf, M. and Jabeen, A.
(2017)
*Nonlinear generalized Lie triple derivation on triangular algebras.*
Communications in Algebra, 45 (10).
pp. 4380-4395.
ISSN 927872

## Abstract

Let ℛ be a commutative ring with identity and let (Formula presented.) = Tri(A,ℳ,ℬ) be a triangular algebra consisting of unital algebras A,ℬ over ℛ and an (A,ℬ)-bimodule ℳ which is faithful as a left A-module as well as a right ℬ-module. In this paper, we prove that under certain assumptions every nonlinear generalized Lie triple derivation GL:(Formula presented.)→(Formula presented.) is of the form GL = δ+τ, where δ:(Formula presented.)→(Formula presented.) is an additive generalized derivation on (Formula presented.) and τ is a mapping from (Formula presented.) into its center which annihilates all Lie triple products [[x,y],z].

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Generalized Lie triple derivation; Lie triple derivation; Triangular algebra |

Subjects: | Q Science > QA Mathematics |

Divisions: | Faculties > Faculty of Science > Department of Mathematics |

Depositing User: | AMU Library |

Date Deposited: | 05 Feb 2018 06:23 |

Last Modified: | 05 Feb 2018 06:44 |

URI: | http://ir.amu.ac.in/id/eprint/11101 |

### Actions (login required)

View Item |