Results 161 to 170 of about 40,026 (194)
Exploring the impact of Brownian motion on novel closed-form solutions of the extended Kairat-II equation. [PDF]
PLoS OneAldwoah K +5 more
europepmc +1 more source
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Mathematical Notes, 2021
For a class of algebras \(\mathcal{A}\), denote by \(\mathcal{A}_1\) the class of algebras in which every singly generated algebra belongs to the class \(\mathcal{A}\). We similarly define \(\mathcal{A}_2\) as the class of algebras in which every two-generated algebra belongs to the class \(\mathcal{A}\).
Ismailov, N. A., Dzhumadil'daev, A. S.
openaire +2 more sources
For a class of algebras \(\mathcal{A}\), denote by \(\mathcal{A}_1\) the class of algebras in which every singly generated algebra belongs to the class \(\mathcal{A}\). We similarly define \(\mathcal{A}_2\) as the class of algebras in which every two-generated algebra belongs to the class \(\mathcal{A}\).
Ismailov, N. A., Dzhumadil'daev, A. S.
openaire +2 more sources
Forum Mathematicum, 2002
The paper provides foundational material for the construction of free Leibniz \(n\)-algebras and an interpretation of Leibniz \(n\)-algebra cohomology in terms of Quillen cohomology. Motivated by generalizations of Lie algebra structures to settings with \(n\)-ary operations, the authors define a Leibniz \(n\)-algebra to be a vector space \(\mathcal{L}\
Casas, J. M. +2 more
openaire +3 more sources
The paper provides foundational material for the construction of free Leibniz \(n\)-algebras and an interpretation of Leibniz \(n\)-algebra cohomology in terms of Quillen cohomology. Motivated by generalizations of Lie algebra structures to settings with \(n\)-ary operations, the authors define a Leibniz \(n\)-algebra to be a vector space \(\mathcal{L}\
Casas, J. M. +2 more
openaire +3 more sources
Cohomology of Leibniz Algebras
Jahresbericht der Deutschen Mathematiker-Vereinigung, 2023The paper under review is a survey of recent results on the cohomology of Leibniz algebras which are due to the author and the reviewer [J. Algebra 569, 276--317 (2021; Zbl 1465.17006); Indag. Math., New Ser. 35, No. 1, 87--113 (2024; Zbl 1543.17003)].
openaire +2 more sources
Leibniz algebras in characteristic
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2001The paper under review presents a definition of a restricted Leibniz algebra \(Q\) in characteristic \(p\), and then presents a condition for the non-vanishing of the Leibniz cohomology of \(Q\). In particular, let \(k\) be an algebraically closed field of characteristic \(p > 0\), and let \(Q\) be a (left) Leibniz algebra over \(k\).
Dzhumadil'daev, Askar S. +1 more
openaire +2 more sources
From Leibniz Algebras to Lie 2-algebras
Algebras and Representation Theory, 2015The authors construct a Lie 2-algebra associated to every Leibniz algebra via the skew-symmetrization.
Sheng, Yunhe, Liu, Zhangju
openaire +2 more sources
VARIETIES OF METABELIAN LEIBNIZ ALGEBRAS
Journal of Algebra and Its Applications, 2002In this paper we commence the systematic study of T-ideals of the free Leibniz algebra or, equivalently, varieties of Leibniz algebras, over a field of characteristic 0. We give a description of the free metabelian (i.e. solvable of class 2) Leibniz algebras, a complete list of all left-nilpotent of class 2 varieties and the asymptotic description of ...
Drensky, Vesselin +1 more
openaire +2 more sources
R-Matrices for Leibniz Algebras
Letters in Mathematical Physics, 2003The authors introduce \(R\)-matrices for Leibniz algebras as a direct generalization of the classical \(R\)-matrices. The linear mapping \(R_{\pm}: L\to L\) of a Leibniz algebra \(L\) is called an \(R_{\pm}\)-matrix if the new bilinear operator defined by \([X,Y]_{R_{\pm}}=[RX,Y]\pm [X,RY]\), \(X,Y\in L\), satisfies the Jacobi-Leibniz identity.
Felipe, Raúl +2 more
openaire +1 more source
Mathematical Notes, 2006
A Leibniz algebra \(L\) is said to be \textit{thin} if \(\dim(L^1/L^2)=2\) and \(\dim(L_i/L_{i+1})=1\) for all \(i\geq 2\). Here \(L^1=L\) and \(L^{n+1}=[L^n,L]\). The author proves that there are three classes of non-Lie thin Leibniz algebras.
openaire +1 more source
A Leibniz algebra \(L\) is said to be \textit{thin} if \(\dim(L^1/L^2)=2\) and \(\dim(L_i/L_{i+1})=1\) for all \(i\geq 2\). Here \(L^1=L\) and \(L^{n+1}=[L^n,L]\). The author proves that there are three classes of non-Lie thin Leibniz algebras.
openaire +1 more source
ON NILPOTENT LEIBNIZ n-ALGEBRAS
Journal of Algebra and Its Applications, 2012We study the nilpotency of Leibniz n-algebras related with the adapted version of Engel's theorem to Leibniz n-algebras. We also deal with the characterization of finite-dimensional nilpotent complex Leibniz n-algebras.
Camacho, L. M. +4 more
openaire +1 more source