Results 11 to 20 of about 436,002 (268)
Solvable Leibniz Algebras with Filiform Nilradical [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2015 In this paper we continue the description of solvable Leibniz algebras whose nilradical is a filiform algebra. In fact, solvable Leibniz algebras whose nilradical is a naturally graded filiform Leibniz algebra are described in [6] and [8].
Bakhrom Omirov
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A Characterization of Nilpotent Leibniz Algebras
Algebras and Representation Theory, 2012 W. A. Moens proved that a Lie algebra is nilpotent if and only if it admits an invertible Leibniz-derivation. In this paper we show that with the definition of Leibniz-derivation from W. A.
Alice Fialowski, Bakhrom Omirov
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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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On the derivations of Leibniz algebras of low dimension
Доповiдi Нацiональної академiї наук України, 2023 Let L be an algebra over a field F. Then L is called a left Leibniz algebra if its multiplication operations [×, ×] addition- ally satisfy the so-called left Leibniz identity: [[a,b],c] = [a,[b,c]] – [b,[a,c]] for all elements a, b, c Î L. In this paper,
L.A. Kurdachenko +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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The description of the automorphism groups of finite-dimensional cyclic Leibniz algebras
Доповiдi Нацiональної академiї наук України, 2022 In the study of Leibniz algebras, the information about their automorphisms (as well as about endomorphisms, derivations, etc.) is very useful. We describe the automorphism groups of finite-dimensional cyclic Leibniz algebras. In particular, we consider
L.A. Kurdachenko +2 more
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