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Linguistik und Völkerkunde – der Beitrag der historisch-vergleichenden Linguistik von G.W. Leibniz zur Entstehung der Völkerkunde im 18. Jahrhundert [Leicht erweiterte Fassung des Working Pa...
莱布尼茨(Gottfriend Wilhelm von Leibniz,1646.7.1.—1716.11.14.) 德国最重要的自然科学家、数学家、物理学家、历史学家和哲学家,一个举世罕见的科学天才,和牛顿同为微积分的创建人。他博览群书,涉猎百科,对丰富人类的科学知识宝库做出了不可磨灭的贡献。
运用待定系数法确定了复数域上的二维和三维Leibniz代数的自同态, 进而对相关非李代数的Hom-Leibniz代数进行了分类.
Many historians of the calculus deny significant continuity between infinitesimal calculus of the 17th century and 20th century developments such as Robinson's theory. Robinson's hyperreals, while pro...
Abstract: By using help of algebraic operad theory, Leibniz algebra theory and symplectic-Poisson geometry are connected. We introduce the notion of cohomological vector field defined on nongraded sym...
Abstract: We define Leibniz triple systems in a functorial manner using the algorithm of Kolesnikov and Pozhidaev which converts identities for algebras into identities for dialgebras. We verify that ...
I give a simpler proof of the generalisation of Engel’s Theorem to Leibniz algebras.
In this paper we present the classification of a subclass of natu-rally graded Leibniz algebras. These n-dimensional Leibniz algebras have the characteristic sequence equal to (n−3, 3). For this...
In this paper, we give the categorification of Leibniz algebras, which is equivalent to 2-term sh Leibniz algebras. They reveal the algebraic structure of omni-Lie 2-algebras introduced in [22] as w...
Three philosophical principles are often quoted in connection with Leib-niz: “objects sharing the same properties are the same object”, “everything can possibly exist, unless it yields contradiction”,...
This article gives a local answer to the coquecigrue problem. Hereby we mean the problem, formulated by J-L. Loday in \cite{LodayEns}, is that of finding a generalization of the Lie's third theorem fo...
Some basic properties of Hom-Leibniz algebras are found. These properties are the Hom-analogue of corresponding well-known properties of Leibniz algebras. Considering the Hom-Akivis algebra associate...
We study the problem of infinitesimal deformations of all real sim-ple finite-dimensional Filippov (or n-Lie) algebras considered as a class of n-Leibniz algebras characterized by having a n-bracket s...
From the viewpoint of semi-abelian homology, some recent results on homology of Leibniz n-algebras can be explained categorically. In parallel with these results, we develop an analogous theory for Li...
The n-dimensional p-filiform Leibniz algebras of maximum length have already been studied with 0  p  2. For Lie algebras whose nilindex is equal to n − 2 there is only one characteristic seque...

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