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Combined system of additive functional equations in Banach algebras
Open MathematicsIn this study, we solve the system of additive functional equations: h(x+y)=h(x)+h(y),g(x+y)=f(x)+f(y),2fx+y2=g(x)+g(y),\left\{\begin{array}{l}h\left(x+y)=h\left(x)+h(y),\\ g\left(x+y)=f\left(x)+f(y),\\ 2f\left(\frac{x+y}{2}\right)=g\left(x)+g(y),\end ...
Donganont Siriluk, Park Choonkil
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Outer endomorphisms of free metabelian Lie algebras [PDF]
, 2011 2000 Mathematics Subject Classification: 17B01, 17B30, 17B40.Let Fm be the free metabelian Lie algebra of rank m over a field K of characteristic 0. We consider the semigroup IE(Fm) of the endomorphisms of Fm which are identical modulo the commutator ...
Findik, Sehmus
core
, 2018 Recently Pascal Baseilhac and Stefan Kolb introduced some automorphisms $T_0$, $T_1$ of the $q$-Onsager algebra $\mathcal O_q$, that are roughly analogous to the Lusztig automorphisms of $U_q(\widehat{\mathfrak{sl}}_2)$.
Terwilliger, Paul
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Automorphism Group of a Non-Associative Algebra I [PDF]
, 2008 Automorphisms of a Weyl-type non-associative subalgebra of WNn;m;s were studied in [2], [3], [4], [12], [13]. There are various papers on the automorphism groups of an associative algebra, a Lie algebra, and a non-associative algebra [4], [5], [11].
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A Note on Derivations of Lie Algebras
, 2010 In this note, we will prove that a finite dimensional Lie algebra $L$ of characteristic zero, admitting an abelian algebra of derivations $D\leq Der(L)$ with the property $$ L^n\subseteq \sum_{d\in D}d(L) $$ for some $n\geq 1$, is necessarily solvable ...
Shahryari, Mohammad
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Hydroclimatic and cultural instability in northeastern North America during the last millennium. [PDF]
PLoS One, 2021 Stager JC +5 more
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Analysis of trabecular distribution of the proximal femur in patients with fragility fractures. [PDF]
BMC Musculoskelet Disord, 2013 Lu Y +5 more
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Distinct frontal and amygdala correlates of change detection for facial identity and expression. [PDF]
Soc Cogn Affect Neurosci, 2016 Achaibou A, Loth E, Bishop SJ.
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Structural and functional consequences of the Milano mutation (R173C) in human apolipoprotein A-I. [PDF]
J Lipid Res, 2009 Alexander ET +5 more
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Commentary to: Generalized derivations of Lie triple systems
Open Mathematics, 2016 Kaygorodov Ivan, Popov Yury
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