Results 11 to 20 of about 299,152 (273)

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
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Higher Derivations on Lie Ideals

Trends in Computational and Applied Mathematics, 2002
In this paper we present a brief proof of a recently proved result [5, Corollary 1.4]. The main result states that if R is a prime ring of characteristic different of 2 and U is a Lie ideal of R where U 6½ Z(R), the center of R, u2 2 U for all u 2 U, and
C. HAETINGER
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Approximate Cubic Lie Derivations [PDF]

Abstract and Applied Analysis, 2013
We study the stability and hyperstability of cubic Lie derivations on normed algebras. At the end, we write some additional observations about our results.
Fošner, Ajda, Fošner, Maja
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Additive Lie (ξ-Lie) derivations and generalized Lie (ξ-Lie) derivations on prime algebras

Acta Mathematica Sinica, English Series, 2012
Comment: 11 ...
Qi, Xiao Fei, Hou, Jin Chuan
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Derivation Requirements on Prime Near-Rings for Commutative Rings

Jurnal Ilmu Dasar, 2019
Near-ring is an extension of ring without having to fulfill a commutative of the addition operations and left distributive of the addition and multiplication operations It has been found that some theorems related to a prime near-rings are commutative ...
Dian Winda Setyawati, Mochammad Reza Habibi, Komar Baihaqi   +2 more
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On Equality of Certain Derivations of Lie Algebras

Discussiones Mathematicae - General Algebra and Applications, 2019
Let L be a Lie algebra. A derivation α of L is a commuting derivation (central derivation), if α (x) ∈ CL (x) (α (x) ∈ Z (L)) for each x ∈ L. We denote the set of all commuting derivations (central derivations) by 𝒟 (L) (Derz (L)).
Amiri Azita, Saeedi Farshid, Alemi Mohammad Reza   +2 more
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Additive Lie (\(\xi \)-Lie) derivations and generalized Lie (\(\xi \)-Lie) derivations on nest algebras

Linear Algebra and its Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qi, Xiaofei, Hou, Jinchuan
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Derivations of nilpotent Lie algebras [PDF]

Proceedings of the American Mathematical Society, 1957
J. DIXMIER AND W. G. LISTER In a recent note Jacobson proved [l] that, over a field of characteristic 0, a Lie algebra with a nonsingular derivation is nilpotent. He also noted that the validity of the converse was an open question. The purpose of this note is to supply a strongly negative answer to that question and to point out some of the immediate ...
Dixmier, J., Lister, W. G.
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A characterization of nilpotent Leibniz algebras

, 2012
W. A. Moens proved that a Lie algebra is nilpotent if and only if it admits an invertible Leibniz-derivation. In this paper we show that with the definition of Leibniz-derivation from W. A.
Fialowski, Alice, Khudoyberdiyev, A. Kh., Omirov, B. A.   +2 more
core   +1 more source

Generalized derivations of Lie triple systems

Open Mathematics, 2016
In this paper, we present some basic properties concerning the derivation algebra Der (T), the quasiderivation algebra QDer (T) and the generalized derivation algebra GDer (T) of a Lie triple system T, with the relationship Der (T) ⊆ QDer (T) ⊆ GDer (T) ⊆
Zhou Jia, Chen Liangyun, Ma Yao
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