Results 1 to 10 of about 434,692 (269)
Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras [PDF]
Journal of Algebra, 2017 In this paper we describe central extensions of some nilpotent Leibniz algebras. Namely, central extensions of the Leibniz algebra with maximal index of nilpotency are classified.
Jobir Adashev +2 more
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The Classical Hom–Leibniz Yang–Baxter Equation and Hom–Leibniz Bialgebras
Mathematics, 2022 In this paper, we first introduce the notion of Hom–Leibniz bialgebras, which is equivalent to matched pairs of Hom–Leibniz algebras and Manin triples of Hom–Leibniz algebras.
Shuangjian Guo +2 more
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Revista de Estudios Kantianos, 2023 Is Immanuel Kant’s critique of the proofs of God’s existence accurate? In order to answer this question, I analyse Leibniz’ proof in his “Monadology” and I determine the relation between the cosmological and the ontological version of this proof.
Holger Gutschmidt
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On Hom-Leibniz and Hom-Lie-Yamaguti Superalgebras
Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper some characterizations of Hom-Leibniz superalgebras are given and some of their basic properties are found. These properties can be seen as a generalization of corresponding well-known properties of Hom-Leibniz algebras. Considering the Hom-
Attan Sylvain +2 more
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Description of the automorphism groups of some Leibniz algebras
Researches in Mathematics, 2023 Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$.
L.A. Kurdachenko, O.O. Pypka, M.M. Semko
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On the derivations of cyclic Leibniz algebras
Karpatsʹkì Matematičnì Publìkacìï, 2022 Let $L$ be an algebra over a field $F$. Then $L$ is called a left Leibniz algebra, if its multiplication operation $[-,-]$ additionally satisfies the so-called left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$. A linear
M.M. Semko, L.V. Skaskiv, O.A. Yarovaya
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Regarding ‘Leibniz Equivalence’ [PDF]
Foundations of Physics, 2020 AbstractLeibniz Equivalence is a principle of applied mathematics that is widely assumed in both general relativity textbooks and in the philosophical literature on Einstein’s hole argument. In this article, I clarify an ambiguity in the statement of this Leibniz Equivalence, and argue that the relevant expression of it for the hole argument is ...
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Communications in Mathematics, 2020 Abstract A finite-dimensional Lie algebra is called an A-algebra if all of its nilpotent subalgebras are abelian. These arise in the study of constant Yang-Mills potentials and have also been particularly important in relation to the problem of describing residually finite varieties.
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Lexicon Philosophicum, 2021 In the present discussion, I set myself the objective of sketching out Martin Heidegger’s two different approaches to the principle of sufficient reason in Leibniz.
Martin Škára
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APIBENDRINIMAI IŠ DISKUSIJŲ SU FARDELLA
Problemos, 2013 Versta iš: Gottfried Wilhelm Leibniz. Sämtliche Schriften und Briefe, Sechste Reihe: Philosophische Schriften. Bd. 4. Berlin: Akademie Verlag, 1999, p. 1666–1674.
Gottfried Wilhelm Leibniz
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