Results 41 to 50 of about 16,163 (307)
Maps on the Mirror Heisenberg–Virasoro Algebra
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
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Approximation of additive functional equations in NA Lie C*-algebras
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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Derivation subalgebras of Lie algebras
Let $L$ be a Lie algebra and $I,$ $J$ be two ideals of $L$. If $\Der_J^I(L)$ denotes the set of all derivations of $L$ whose images are in $I$ and send $J$ to zero, then we give necessary and sufficient conditions under which $\Der_J^I(L)$ is equal to ...
Saeedi, F., Sheikh-Mohseni, S.
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Embryo‐like structures (stembryos) are an innovative tool, but they are hindered by experimental variability and limited developmental potential. DNA methylation is crucial for mammalian development, but its status in stembryo models is poorly characterized.
Sara Canil +4 more
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On the Derivation Algebras of Lie Algebras
LetLbe a Lie algebra over a field of characteristic 0 and letD(L)be the derivation algebra ofL, that is, the Lie algebra of all derivations ofL. Then it is natural to ask the following questions: What is the structure ofD(L)?What are the relations of the
Shigeaki Tôgô
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The human gut microbiome across the life course
Despite significant individual variation and continuous change throughout life, the human gut microbiome follows some life stage‐specific trends. This article provides a brief overview of how gut microbiome composition shifts across different phases of life. Created in BioRender. Özkurt, E. (2026) https://BioRender.com/8q4nrnc.
Alise J. Ponsero +4 more
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Local derivation on the Schro¨dinger Lie algebra in (n+1)-dimensional space-time
This paper investigates local derivations on the Schro¨dinger Lie algebra sn, the Lie algebra of the (n+1)dimensional space-time Schro¨dinger group. As a finite-dimensional Lie algebra that is neither semisimple nor solvable, the Schr¨odinger algebra ...
A.K. Alauadinov, B.B. Yusupov
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Transposed Poisson superalgebra [PDF]
In this paper, we propose the notion of a transposed Poisson superalgebra. We prove that a transposed Poisson superalgebra can be constructed by means of a commutative associative superalgebra and an even degree derivation of this algebra.
Viktor Abramov, Olga Liivapuu
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Generalized Lie n-derivations on arbitrary triangular algebras
In this study, we consider generalized Lie nn-derivations of an arbitrary triangular algebra TT through the constructed triangular algebra T0{T}_{0}, where T0{T}_{0} is constructed using the notion of maximal left (right) ring of quotients.
Yuan He, Liu Zhuo
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3-Hom-Lie Algebras Based on σ-Derivation and Involution
We show that, having a Hom-Lie algebra and an element of its dual vector space that satisfies certain conditions, one can construct a ternary totally skew-symmetric bracket and prove that this ternary bracket satisfies the Hom-Filippov-Jacobi identity, i.
Silvestrov, Sergei,, Abramov, Viktor,
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