Results 21 to 30 of about 14,741 (268)
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
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The Decomposition of Lie Derivations
Irish Mathematical Society Bulletin, 2003 A linear mapping \(D\colon A\to E\) from an algebra \(A\) into an \(A\)-bimodule \(E\) is called a Lie derivation if \(D([a,b])=[a,D(b)]+[D(a),b]\) for all elements \(a,b\in A\). Every derivation \(d\colon A\to E\) is a Lie derivation, and so is every centre-valued trace \(\tau\); the latter is a linear mapping \(\tau\colon A\to E\) which takes its ...
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Patients with chronic kidney disease undergoing hemodialysis commonly experience reduced physical function, fatigue, poor sleep quality, and impaired health‐related quality of life. Intradialytic exercise has been proposed as a non‐pharmacological strategy to improve these outcomes.
Klebson da Silva Almeida +6 more
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Jordan Derivations and Lie Derivations on Path Algebras [PDF]
Bulletin of the Iranian Mathematical Society, 2018 Without the faithful assumption, we prove that every Jordan derivation on a class of path algebras of quivers without oriented cycles is a derivation and that every Lie derivation on such kinds of algebras is of the standard form.
Li, Y., Wei, F.
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Japan has one of the highest dialysis prevalence rates worldwide and a shrinking, aging population. Whether dialysis burden has entered a sustained post‐peak phase or whether recent declines partly reflect pandemic‐related disruptions remains uncertain.
Hatice Şahin +2 more
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Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?
FEBS 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
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Approximation of additive functional equations in NA Lie C*-algebras
Demonstratio Mathematica, 2018 In this paper, by using fixed point method, we approximate a stable map of higher *-derivation in NA C*-algebras and of Lie higher *-derivations in NA Lie C*-algebras associated with the following additive functional ...
Wang Zhihua, Saadati Reza
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On Derivations and Lie Ideals of Semirings
Mathematica Pannonica, 2022 In this paper, centralizing (semi-centralizing) and commuting (semi-commuting) derivations of semirings are characterized. The action of these derivations on Lie ideals is also discussed and as a consequence, some significant results are proved. In addition, Posner’s commutativity theorem is generalized for Lie ideals of semirings and this result is ...
Dadhwal, Madhu, Neelam
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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
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Maps on the Mirror Heisenberg–Virasoro Algebra
MathematicsUsing 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
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