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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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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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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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Leibniz frente al ocasionalismo. La lucha por la autonomía de la razón
Logos, 2021 Se aborda la polémica entre Leibniz y Malebranche en torno a la relación entre las sustancias. Se plantean cuatro hipótesis para explicar esta interacción: la influencia física (escolástica), la asistencia divina inmediata (ocasionalismo, Malebranche ...
Juan Antonio Nicolás
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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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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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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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