Results 81 to 90 of about 39,924 (177)

q-Leibniz Algebras

, 2008
2000 Mathematics Subject Classification: Primary 17A32, Secondary 17D25. An algebra (A,ο) is called Leibniz if aο(bοc) = (a ο b)ο c-(a ο c) ο b for all a,b,c ∈ A. We study identities for the algebras A(q) = (A,οq), where a οq b = a ο b+q b ο a is the q-commutator. Let Char K ≠ 2,3. We show that the class of q-Leibniz algebras is defined by one identity
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ON LEVI’S THEOREM FOR LEIBNIZ ALGEBRAS [PDF]

Bulletin of the Australian Mathematical Society, 2011
AbstractA Lie algebra over a field of characteristic 0 splits over its soluble radical and all complements are conjugate. I show that the splitting theorem extends to Leibniz algebras but that the conjugacy theorem does not.
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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., Omirov B.A., Masutova K.K., Rikhsiboev I.M.   +3 more
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Pre-Leibniz algebras

Communications in Algebra
The notion of pre-Leibniz algebras was recently introduced in the study of Rota-Baxter operators on Leibniz algebras. In this paper, we first construct a graded Lie algebra whose Maurer-Cartan elements are pre-Leibniz algebras. Using this characterization, we define the cohomology of a pre-Leibniz algebra with coefficients in a representation.
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The Leibniz algebras whose subalgebras are ideals

Open Mathematics, 2017
In this paper we obtain the description of the Leibniz algebras whose subalgebras are ideals.
Kurdachenko Leonid A., Semko Nikolai N., Subbotin Igor Ya.   +2 more
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Notes on Leibniz n-algebras

Journal of Geometry and Physics
Xunta de Galicia | Ref.
José Manuel Casas, Emzar Khmaladze, Manuel Ladra   +2 more
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Companion Lie Algebras of Leibniz Algebras

, 2015
10 ...
McAlister, Allison, Stitzinger, Ernie, White, Ashley   +2 more
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The Manin–Peyre conjecture for smooth spherical Fano varieties of semisimple rank one

Forum of Mathematics, Sigma
The Manin–Peyre conjecture is established for a class of smooth spherical Fano varieties of semisimple rank one. This includes all smooth spherical Fano threefolds of type T as well as some higher-dimensional smooth spherical Fano varieties.
Valentin Blomer, Jörg Brüdern, Ulrich Derenthal, Giuliano Gagliardi   +3 more
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Topics on n-ary Algebraic Structures

Acta Polytechnica, 2010
We review the basic definitions and properties of two types of n-ary structures, the Generalized Lie Algebras (GLA) and the Filippov (≡ n-Lie) algebras (FA), as well as those of their Poisson counterparts, the Generalized Poisson (GPS) and Nambu-Poisson (
J. A. de Azcárraga, J. M. Izquierdo
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TWO METHODS OF DESCRIBING 2-LOCAL DERIVATIONS AND AUTOMORPHISMS

Ural Mathematical Journal
In the present paper, we investigate 2-local linear operators on vector spaces. Sufficient conditions are obtained for the linearity of a 2-local linear operator on a finite-dimensional vector space. To do this, families of matrices of a certain type are
Farhodjon Arzikulov, Feruza Nabijonova, Furkat Urinboyev   +2 more
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