Results 101 to 110 of about 1,839,875 (302)

On finite dimensional Nichols algebras of diagonal type

open access: yesBulletin of Mathematical Sciences, 2017
This is a survey on Nichols algebras of diagonal type with finite dimension, or more generally with arithmetic root system. The knowledge of these algebras is the cornerstone of the classification program of pointed Hopf algebras with finite dimension ...
Nicolás Andruskiewitsch, Iván Angiono
doaj   +1 more source

Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$

open access: yesMathematische Nachrichten, EarlyView.
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

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality

open access: yesMathematische Nachrichten, EarlyView.
Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley   +1 more source

Triangular algebras with nonlinear higher Lie n-derivation by local actions

open access: yesAIMS Mathematics
This paper was devoted to the study of the so-called nonlinear higher Lie n-derivation of triangular algebras $ \mathcal{T} $, where $ n $ is a nonnegative integer greater than two.
Xinfeng Liang, Mengya Zhang
doaj   +1 more source

Omni-Lie Algebras

open access: yes, 1999
8 pages, minor corrections and announcement of further ...
openaire   +3 more sources

Extending the hyper‐logistic model to the random setting: New theoretical results with real‐world applications

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
We develop a full randomization of the classical hyper‐logistic growth model by obtaining closed‐form expressions for relevant quantities of interest, such as the first probability density function of its solution, the time until a given fixed population is reached, and the population at the inflection point.
Juan Carlos Cortés   +2 more
wiley   +1 more source

Solvable complemented Lie algebras [PDF]

open access: yesProceedings of the American Mathematical Society, 2012
In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition. The class of such algebras is shown to be a formation whose residual is the ideal closure of the prefrattini subalgebras.
openaire   +4 more sources

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis   +2 more
wiley   +1 more source

(Almost) Ricci Solitons in Lorentzian–Sasakian Hom-Lie Groups

open access: yesAxioms
We study Lorentzian contact and Lorentzian–Sasakian structures in Hom-Lie algebras. We find that the three-dimensional sl(2,R) and Heisenberg Lie algebras provide examples of such structures, respectively.
Esmaeil Peyghan   +3 more
doaj   +1 more source

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