Results 21 to 30 of about 299,152 (273)

On Generalized Permuting Left 3-Derivations of Prime Rings [PDF]

open access: yesEngineering 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

Structure of Divergence-Free Lie Algebras

open access: yes, 2000
One of the four well-known series of simple Lie algebras of Cartan type is the series of Lie algebras of Special type, which are divergence-free Lie algebras associated with polynomial algebras and the operators of taking partial derivatives, connected ...
Su, Yucai, Xu, Xiaoping
core   +2 more sources

On Lie ideals satisfying certain differential identities in prime rings

open access: yesExtracta 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  

Multiple Lie derivatives and forests [PDF]

open access: yesAdvances in Mathematics, 2019
We obtain a complete time expansion of the pull-back operator generated by a real analytic flow of real analytic automorphisms acting on analytic tensor sections of a manifold. Our expansion is given in terms of multiple Lie derivatives. Motivated by this expansion, we provide a rather simple and explicit estimate for higher order covariant derivatives
Hivert, Florent, Pali, Nefton
openaire   +3 more sources

Double extensions of Lie superalgebras in characteristic 2 with nondegenerate invariant supersymmetric bilinear form

open access: yes, 2018
A Lie (super)algebra with a non-degenerate invariant symmetric bilinear form will be called a NIS-Lie (super)algebra. The double extension of a NIS-Lie (super)algebra is the result of simultaneously adding to it a central element and an outer derivation ...
Benayadi, Said, Bouarroudj, Sofiane
core   +2 more sources

Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?

open access: yesFEBS Letters, EarlyView.
This graphical summary illustrates the roles of phosphatidylinositol 4‐kinases (PI4Ks). PI4Ks regulate key cellular processes and can be hijacked by pathogens, such as viruses, bacteria and parasites, to support their intracellular replication. Their dual role as essential host enzymes and pathogen cofactors makes them promising drug targets.
Ana C. Mendes   +3 more
wiley   +1 more source

Study on Lie {ξ,ζ}-Derivations on Tensor Products of Algebras

open access: yesMathematics
Let 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

Linear Poisson structures on R^4

open access: yes, 2007
We classify all of the 4-dimensional linear Poisson structures of which the corresponding Lie algebras can be considered as the extension by a derivation of 3-dimensional unimodular Lie algebras.
Carinena   +11 more
core   +2 more sources

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

open access: yesFEBS 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

Maps on the Mirror Heisenberg–Virasoro Algebra

open access: yesMathematics
Using the first cohomology from the mirror Heisenberg–Virasoro algebra to the twisted Heisenberg algebra (as the mirror Heisenberg–Virasoro algebra module), in this paper, we determined the derivations on the mirror Heisenberg–Virasoro algebra.
Xuelian Guo   +2 more
doaj   +1 more source

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