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The Classical Hom–Leibniz Yang–Baxter Equation and Hom–Leibniz Bialgebras

open access: yesMathematics, 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
doaj   +1 more source

Leibniz and Kant on God

open access: yesRevista 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
doaj   +1 more source

On Hom-Leibniz and Hom-Lie-Yamaguti Superalgebras

open access: yesDiscussiones 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
doaj   +1 more source

On the derivations of Leibniz algebras of low dimension

open access: yesДоповiдi 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
doaj   +1 more source

Description of the automorphism groups of some Leibniz algebras

open access: yesResearches 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
doaj   +1 more source

Leibniz frente al ocasionalismo. La lucha por la autonomía de la razón

open access: yesLogos, 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
doaj   +1 more source

On the derivations of cyclic Leibniz algebras

open access: yesKarpatsʹkì 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
doaj   +1 more source

Rinktiniai metafiziniai tekstai (1683–1690)

open access: yesProblemos, 2014
Iš lotynų kalbos vertė Laurynas Adomaitis Versta iš: Gottfried Wilhelm Leibniz, Sämtliche Schriften und Briefe, Sechste Reihe, Philosophische Schriften. Bd. 4. Berlin: Akademie Verlag, 1999, p. 1490–1505, 1524–1528, 1634–1640, 1641–1643.
Gottfried Wilhelm Leibniz
doaj   +1 more source

APIBENDRINIMAI IŠ DISKUSIJŲ SU FARDELLA

open access: yesProblemos, 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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The description of the automorphism groups of finite-dimensional cyclic Leibniz algebras

open access: yesДоповiдi 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
doaj   +1 more source

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