Results 1 to 10 of about 16,163 (307)

Lie triple derivation and Lie bi-derivation on quaternion rings [PDF]

Miskolc Mathematical Notes
In this study, we prove the existence of the central Lie bi-derivation for the ring with identity on the quaternion ring. We also describe the triple Lie derivation using the Jordan derivation on the aforementioned ring.
Mohd Arif Raza, Aisha Jabeen, Tahani Al-Sobhi   +2 more
doaj   +4 more sources

Stochastic Lie bracket (derivation, derivation) in MB-algebras

Journal of Inequalities and Applications, 2020
By a stochastic controller, we make stable the pseudo stochastic Lie bracket (derivation, derivation) in complex MB-algebras. Next, we get an approximation by a stochastic Lie bracket (derivation, derivation) and calculate the maximum error of the ...
Masoumeh Madadi, Reza Saadati, Choonkil Park, John Michael Rassias   +3 more
doaj   +2 more sources

Derivation rings of Lie rings

Sao Paulo Journal of Mathematical Sciences, 2017
We establish some connections between Lie rings, their derivation rings and generalized derivations rings.
Orest D Artemovych
exaly   +2 more sources

Derivation algebras of centerless perfect Lie algebras are complete

Journal of Algebra, 2005
It is proved that the derivation algebra of a centerless perfect Lie algebra of arbitrary dimension over any field of arbitrary characteristic is complete and that the holomorph of a centerless perfect Lie algebra is complete if and only if its outer ...
Yucai Su, Linsheng Zhu
exaly   +2 more sources

Additive Lie (ξ-Lie) derivations and generalized Lie (ξ-Lie) derivations on nest algebras

Linear Algebra and its Applications, 2009
For a scalar ξ, a notion of (generalized) ξ-Lie derivations is introduced which coincides with the notion of (generalized) Lie derivations if ξ=1. Some characterizations of additive (generalized) ξ-Lie derivations on the triangular algebras and the ...
Hou, Jinchuan, Xiaofei Qi, Qi, Xiaofei, Jinchuan Hou   +3 more
core   +2 more sources

The derivation Lie algebra of the higher rank Virasoro-like algebra and its automorphism groups

Linear Algebra and Its Applications, 2009
In this paper, we study the derivation Lie Algebra of the higher rank Virasoro-like algebra. We prove that it isomorphic to the skew derivation Lie Algebra.
Xiaomin Tang
exaly   +2 more sources

LIE -HIGHER DERIVATIONS AND LIE -HIGHER DERIVABLE MAPPINGS

Bulletin of the Australian Mathematical Society, 2017
Let ${\mathcal{A}}$ be a unital torsion-free algebra over a unital commutative ring ${\mathcal{R}}$. To characterise Lie $n$-higher derivations on ${\mathcal{A}}$, we give an identity which enables us to transfer problems related to Lie $n$-higher ...
JIANKUI LI, YANA DING
core   +3 more sources

Composition of generalized derivations as a Lie derivation

Glasnik matematički, 2012
Let R be a prime ring of characteristic different from 2, U the Utumi quotient ring of R, C the extended centroid of R, F and G non-zero generalized derivations of R.
Vincenzo De Filippis, De Filippis, Vincenzo, Giovanni Scudo, Scudo, Giovanni   +3 more
core   +5 more sources

THE STRUCTURE OF MODULE LIE DERIVATIONS ON TRIANGULAR BANACH ALGEBRAS [PDF]

Journal of Algebraic Systems, 2023
In this paper, we introduce the concept of  module Lie  derivations on Banach algebras and study  module Lie  derivations on unital triangular Banach algebras $ \mathcal{T}=\begin{bmatrix}A & M\\ &B\end{bmatrix}$ to its dual.
Mohammad Miri, Ebrahim Nasrabadi, Ali Ghorchizadeh   +2 more
doaj   +1 more source

Lie triple derivations of dihedron algebra

Frontiers in Physics, 2023
Let K be a 2-torsion free unital ring and D(K) be dihedron algebra over K. In the present article, we prove that every Lie triple derivation of D(K) can be written as the sum of the Lie triple derivation of K, Jordan triple derivation of K, and some ...
Minahal Arshad, Muhammad Mobeen Munir
doaj   +1 more source