Results 21 to 30 of about 16,163 (307)
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 +2 more
doaj +1 more source
The Definition of Lie Derivative [PDF]
Proceedings of the Edinburgh Mathematical Society, 1960 The differential operation known as Lie derivation was introduced by W. Slebodzinski in 1931, and since then it has been used by numerous investigators in applications in pure and applied mathematics and also in physics. A recent monograph by Kentaro Yano (2) devoted to the theory and application of Lie derivatives gives some idea of the wide range of ...
openaire +1 more source
A note on Lie Lorentz derivatives [PDF]
Classical and Quantum Gravity, 2002 The definition of ``Lie derivative'' of spinors with respect to Killing vectors is extended to all kinds of Lorentz tensors. This Lie-Lorentz derivative appears naturally in the commutator of two supersymmetry transformations generated by Killing spinors and vanishes for Vielbeins.
openaire +2 more sources
A NOTE ON DERIVATIONS OF LIE ALGEBRAS [PDF]
Bulletin of the Australian Mathematical Society, 2011 AbstractIn this note, we will prove that a finite-dimensional Lie algebra L over a field of characteristic zero, admitting an abelian algebra of derivations D≤Der(L), with the property for some n>1, is necessarily solvable. As a result, we show that if L has a derivation d:L→L such that Ln⊆d(L), for some n>1, then L is solvable.
openaire +3 more sources
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
doaj +1 more source
On Lie ideals satisfying certain differential identities in prime rings
Extracta Mathematicae, 2023 Let R be a prime ring of characteristic not 2, L a nonzero square closed Lie ideal of R and let F : R → R, G : R → R be generalized derivations associated with derivations d : R → R, g : R → R respectively.
B. Dhara, S. Ghosh, G.S. Sandhu
doaj
On Generalized Permuting Left 3-Derivations of Prime Rings [PDF]
Engineering and Technology Journal, 2017 -Let R be an associative ring. Park and Jung introduced the concept of permuting 3-derivation and they are studied this concept as centralizing and commuting.
A. K. Faraj, S. J. Shareef
doaj +1 more source
Derivation Hom-Lie 2-algebras and non-abelian extensions of regular Hom-Lie algebras
, 2018 In this paper, we introduce the notion of a derivation of a regular Hom-Lie algebra and construct the corresponding strict Hom-Lie 2-algebra, which is called the derivation Hom-Lie 2-algebra.
Rong Tang, Lina Song
core +1 more source
Study on Lie {ξ,ζ}-Derivations on Tensor Products of Algebras
MathematicsLet ℜ be a unital algebra over a field k with char(k)≠2, and let ϝ,ξ,ζ:ℜ→ℜ be linear mappings. We say that ϝ is a {ξ,ζ}-derivation if ϝ(ϑς)=ξ(ϑ)ς+ϑζ(ς)=ζ(ϑ)ς+ϑξ(ς)forallϑ,ς∈ℜ. The mapping ϝ is said to be a Lie {ξ,ζ}-derivation if ϝ([ϑ,ς])=[ξ(ϑ),ς]+[ϑ,ζ(ς)
Doaa Filali +2 more
doaj +1 more source
Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
FEBS Letters, EarlyView.Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
wiley +1 more source