Results 61 to 70 of about 17,267 (191)
Leibniz algebras of dimension 3 over finite fields
Доповiдi Нацiональної академiї наук УкраїниThe first thing in the study of all types of algebras is the description of algebras having small dimensions. Unlike the simpler cases of 1- and 2-dimensional Leibniz algebras, the structure of 3-dimensional Leibniz algebras is more complicated.
V.S. Yashchuk
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Solvable Leibniz algebras with NFn⊕ Fm1$\begin{array}{} F_{m}^{1} \end{array} $ nilradical
Open Mathematics, 2017 All finite-dimensional solvable Leibniz algebras L, having N = NFn⊕ Fm1$\begin{array}{} F_{m}^{1} \end{array} $ as the nilradical and the dimension of L equal to n+m+3 (the maximal dimension) are described.
Camacho L.M. +3 more
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Leibniz algebras: a brief review of current results
Karpatsʹkì Matematičnì Publìkacìï, 2019 Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[\cdot,\cdot]$. 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 $a,b,c\in L$.
V.A. Chupordia +3 more
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Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2510-2531, 15 March 2026.ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin +2 more
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On the role played by anticommutativity in Leibniz algebras
Доповiдi Нацiональної академiї наук УкраїниLie algebras are exactly the anticommutative Leibniz algebras. We conduct a brief analysis of the approach to Leibniz algebras which is based on the concept of anticenter (Lie-center) and antinilpotency (Lie nilpotentency).
L.A. Kurdachenko +2 more
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Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$
Mathematische Nachrichten, Volume 299, Issue 3, Page 496-513, March 2026.Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT Nonlinear mechanical vibrations under harmonic forcing can be well approximated by Fourier series. For a finite number of harmonics, the error is minimized over one period of vibration. This technique, known as multiharmonic balance method (MHBM), is today widely used in academics as well as industrial applications, e.g., for friction‐damped ...
Sebastian Tatzko +2 more
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Algebraic deformation quantization of Leibniz algebras [PDF]
Communications in Algebra, 2018 30 pages. This is the part on deformation quantization from the old version of arXiv:1412.5907 which was split during ...
Alexandre, Charles +3 more
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A Re‐Examination of Foundational Elements of Cosmology
Fortschritte der Physik, Volume 74, Issue 3, March 2026.ABSTRACT This paper undertakes a conceptual re‐examination of several foundational elements of cosmology through the lens of spacetime symmetries. A new derivation of the Friedmann–Lemaître–Robertson–Walker metric is obtained by a careful conceptual examination of rotations and translations on generic manifolds, followed by solving the rotational and ...
Lavinia Heisenberg
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A Wave Tank Study on Turbulent Transport of a Passive Tracer Above Gravelly Sand Beds
Journal of Geophysical Research: Oceans, Volume 131, Issue 3, March 2026.Abstract Exchange processes at the seabed interface have a non‐negligible impact on biogeochemical processes of the sea. Acknowledging this impact on the input of nutrients from the seabed into the water column further entails properly assessing the transport and mixing of these nutrients within the water column.
Helena Stirnweiß +4 more
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