Results 71 to 80 of about 670,256 (260)

On an analogue of Schur's theorem for Leibniz $n$-algebras

Researches in Mathematics
In this paper, we investigate relationships between certain important subalgebras of Leibniz $n$-algebras. In particular, we establish a close connection between the central factor-algebra of a Leibniz $n$-algebra and its derived ideal. As an application,
A.V. Petrov, O.O. Pypka, I.V. Shyshenko
doaj   +1 more source

Nilpotent Lie and Leibniz Algebras [PDF]

Communications in Algebra, 2014
We extend results on finite dimensional nilpotent Lie algebras to Leibniz algebras and counterexamples to others are found. One generator algebras are used in these examples and are investigated further.
Ray, Chelsie Batten, Combs, Alexander, Gin, Nicole, Hedges, Allison, Hird, J. T., Zack, Laurie   +5 more
openaire   +2 more sources

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, Simone Nati Poltri, Clair Poignard   +2 more
wiley   +1 more source

Conjugacy of Cartan Subalgebras in Solvable Leibniz Algebras and Real Leibniz Algebras [PDF]

Algebras and Representation Theory, 2017
This paper is devoted to study the conjugacy of Cartan subalgebras in solvable Leibniz algebras. A Leibniz algebra is nonantisymmetric generalization of Lie algebras. Since proofs of conjugacy results in Lie algebras depend on antisymmetry property, the authors prove the analogues of conjugacy results by amending the arguments in Leibniz algebras.
Stitzinger, Ernie, White, Ashley
openaire   +2 more sources

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
wiley   +1 more source

Classification of Some Solvable Leibniz Algebras [PDF]

Algebras and Representation Theory, 2015
10 ...
Demir, Ismail, Misra, Kailash C., Stitzinger, Ernie   +2 more
openaire   +3 more sources

Forced Response Analysis of Dynamic Systems With Inertia Nonlinearity by Applying the Multiharmonic Balance Method

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, Sebastian Neumann, Tido Kubatschek   +2 more
wiley   +1 more source

Leibniz algebras of dimension 3 over finite fields

Доповiдi Нацiональної академiї наук України
The 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
doaj   +1 more source

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
wiley   +1 more source

On the role played by anticommutativity in Leibniz algebras

Доповiдi Нацiональної академiї наук України
Lie 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, N.N. Semko, I.Ya. Subbotin   +2 more
doaj   +1 more source