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On the structure of Leibniz algebras whose subalgebras are ideals or core-free

, 2020
An algebra L over a field F is said to be a Leibniz algebra (more precisely, a left Leibniz algebra) if it satisfies the Leibniz identity: [[a, b], c] = [a, [b, c]]−[b, [a, c]] for all a, b, c ∊ L. Leibniz algebras are generalizations of Lie algebras.
Chupordia, V.A., Semko, N.N., Kurdachenko, L.A.   +2 more
core   +1 more source

Automorphisms and Derivations of Leibniz Algebras [PDF]

Ukrainian Mathematical Journal, 2016
12 ...
Ladra, M., Rikhsiboev, I. M., Turdibaev, R. M.   +2 more
openaire   +3 more sources

Equivariant deformation cohomology and group actions on compatible Hom-Leibniz algebras [PDF]

Arab Journal of Mathematical Sciences
PurposeThis paper introduces and studies compatible G-Hom-Leibniz algebras, namely compatible Hom-Leibniz algebras equipped with a finite group action.
Rinkila Bhutia, Namita Behera
doaj   +1 more source

Leibniz algebras, having a dense family of ideals

Karpatsʹkì Matematičnì Publìkacìï, 2020
We say that a Leibniz algebra $L$ has a dense family of ideals, if for every pair of subalgebras $A$, $B$ of $L$ such that $A\leqslant B$ and $A$ is not maximal in $B$ there exists an ideal $S$ such that $A\leqslant S\leqslant B$.
N.N. Semko, L.V. Skaskiv, O.A. Yarovaya
doaj   +1 more source

On Derivations of Semisimple Leibniz Algebras [PDF]

Bulletin of the Malaysian Mathematical Sciences Society, 2015
9 pages.
Rakhimov, I. S., Masutova, K. K., Omirov, B. A.   +2 more
openaire   +3 more sources

Naturally graded (n-3)--filiform Leibniz algebras [PDF]

, 2010
Naturally graded nilpotent p-filiform Leibniz algebras are studied for p > n − 4, where n is the dimension of the algebra. Using linear algebra methods we describe the naturally graded (n − 3)-filiform Leibniz algebras.Junta de Andalucía FQM ...
Gómez Martín, José Ramón, Camacho Santana, Luisa María, Omirov, Bakhrom Abdazovich   +2 more
core   +1 more source

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.
openaire   +3 more sources

A Characterization of Nilpotent Leibniz Algebras [PDF]

Algebras and Representation Theory, 2012
arXiv admin note: text overlap with arXiv:1103 ...
Fialowski, Alice, Khudoyberdiyev, A. Kh., Omirov, B. A.   +2 more
openaire   +3 more sources

On the structure of Leibniz algebras, whose subalgebras are ideals or core-free

Доповiдi Нацiональної академiї наук України
An algebra L over a field F is said to be a Leibniz algebra (more precisely, a left Leibniz algebra), if it satisfies the Leibniz identity: [[a, b], c] = [a, [b, c]] — [b, [a, c]] for all a, b, c ∈ L. Leibniz algebras are generalizations of Lie algebras.
V.A. Chupordia, L.A. Kurdachenko, N.N. Semko   +2 more
doaj   +1 more source

Multipliers and unicentral Leibniz algebras [PDF]

Journal of Algebra and Its Applications, 2021
In this paper, we prove Leibniz analogues of results found in Peggy Batten’s 1993 dissertation. We first construct a Hochschild–Serre-type spectral sequence of low dimension, which is used to characterize the multiplier in terms of the second cohomology group with coefficients in the field.
openaire   +2 more sources