Results 1 to 10 of about 14,741 (268)

Lie triple derivation and Lie bi-derivation on quaternion rings

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   +3 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

Characterization of Lie-Type Higher Derivations of von Neumann Algebras with Local Actions

Mathematics, 2023
Let m and n be fixed positive integers. Suppose that A is a von Neumann algebra with no central summands of type I1, and Lm:A→A is a Lie-type higher derivation.
Ab Hamid Kawa, Turki Alsuraiheed, S. N. Hasan, Shakir Ali, Bilal Ahmad Wani   +4 more
doaj   +1 more source

Local and 2-Local Derivations of Locally Simple Lie Algebras

Современная математика: Фундаментальные направления, 2022
In the present paper, we study local and 2-local derivations of the classical locally simple Lie algebras. Firstly, we prove that every local and 2-local derivations on classical locally simple Lie algebra is a derivation.
Sh. A. Ayupov, K. K. Kudaybergenov, B. B. Yusupov   +2 more
doaj   +1 more source

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   +1 more source

On derived Lie algebras [PDF]

Archiv der Mathematik
Abstract In this paper, we investigate the problem of which Lie algebras appear as the derived algebra of a Lie algebra. We present new results that further develop this study and address two questions raised in a paper concerned with the corresponding problem for groups.
Salvatore Siciliano, David A. Towers
openaire   +2 more sources

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

Acta Mathematica Sinica, English Series, 2012
11 ...
Qi, Xiao Fei, Hou, Jin Chuan
openaire   +2 more sources

On Properties of the (2n+1)-Dimensional Heisenberg Lie Algebra

JTAM (Jurnal Teori dan Aplikasi Matematika), 2020
In the present paper, we study some properties of the Heisenberg Lie algebra of dimension . The main purpose of this research is to construct a real Frobenius Lie algebra from the Heisenberg Lie algebra of dimension .
Edi Kurniadi
doaj   +1 more source

Induced 3-Lie algebras, superalgebras and induced representations; pp. 116–133 [PDF]

Proceedings of the Estonian Academy of Sciences, 2020
We construct 3-Lie superalgebras on a commutative superalgebra by means of involution and even degree derivation. We construct a representation of induced 3-Lie algebras and superalgebras by means of a representation of initial (binary) Lie algebra ...
Priit Lätt, Viktor Abramov
doaj   +1 more source