Results 31 to 40 of about 455 (185)
On the structure of Leibniz algebras, whose subalgebras are ideals or core-free
Доповiдi Нацiональної академiї наук УкраїниAn algebra L over a field F is said to be a Leibniz algebra (more precisely, a left Leibniz algebra), if it satisfies the Leibniz identity: [[a, b], c] = [a, [b, c]] — [b, [a, c]] for all a, b, c ∈ L. Leibniz algebras are generalizations of Lie algebras.
V.A. Chupordia +2 more
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Leibniz’s Binary Algebra and its Role in the Expression and Classification of Numbers
Philosophia Scientiæ, 2021 Leibniz’s binary numeral system is generally studied for its arithmetical relevance, but the analysis of several unpublished manuscripts shows that from the very beginning Leibniz also envisaged a new form of algebra in the context of dyadics based on ...
Mattia Brancato
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A new model of the free monogenic digroup
Математичні Студії, 2023 It is well-known that one of open problems in the theory of Leibniz algebras is to find a suitable generalization of Lie’s third theorem which associates a (local) Lie group to any Lie algebra, real or complex. It turns out, this is related to finding an
Yu. V. Zhuchok, G. F. Pilz
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On Integral Manifolds for Leibniz Algebras [PDF]
Algebra, 2014 We discuss several partial solutions to the so-called “coquecigrue problem” of Loday; these solutions parallel, but also generalize in several directions, the classical Lie group-Lie algebra correspondence. Our study highlights some clear similarities between the split and nonsplit cases and leads us to a general unifying scheme that provides an answer
Juan Monterde, Fausto Ongay
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A Characterization of Nilpotent Leibniz Algebras [PDF]
Algebras and Representation Theory, 2012 arXiv admin note: text overlap with arXiv:1103 ...
Fialowski, Alice +2 more
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SciPost Physics, 2021 We propose a Leibniz algebra, to be called DD$^+$, which is a generalization of the Drinfel'd double. We find that there is a one-to-one correspondence between a DD$^+$ and a Jacobi--Lie bialgebra, extending the known correspondence between a Lie ...
Jose J. Fernandez-Melgarejo, Yuho Sakatani
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Reversal of economic integration: evidence from European Union enlargement
The Scandinavian Journal of Economics, EarlyView.Abstract Empirical models of trade agreements implicitly assume that withdrawal from a trade agreement has an equal and opposite trade effect as accession (i.e., symmetry). With increasing opposition to international economic cooperation, it becomes urgent to test this assumption.
Hinnerk Gnutzmann +2 more
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Automorphism groups of some non-nilpotent Leibniz algebras
Researches in MathematicsLet $L$ 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 $a,b,c\in L$. A linear transformation $f$ of $L$
L.A. Kurdachenko +2 more
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Engineering Reports, Volume 8, Issue 6, June 2026.Non‐Newtonian blood flow through multiple tilted ellipsoidal stenoses is numerically investigated using the DeKee‐Turcotte‐Papanastasiou model. The results reveal asymmetric velocity fields, elevated wall shear stress, significant pressure drops, and shear‐dependent thermal effects, highlighting the critical hemodynamic risks associated with eccentric ...
Azad Hussain, Huma Naz
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Multipliers and unicentral Leibniz algebras [PDF]
Journal of Algebra and Its Applications, 2021 In this paper, we prove Leibniz analogues of results found in Peggy Batten’s 1993 dissertation. We first construct a Hochschild–Serre-type spectral sequence of low dimension, which is used to characterize the multiplier in terms of the second cohomology group with coefficients in the field.
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