30 citations · 52 across the 12 of their papers we have counts for
11 papers · 1 filter
A non-abelian tensor product of algebras with bracket
José Manuel Casas, Emzar Khmaladze, Manuel Ladra
We introduce and study a non-abelian tensor product of two algebras with bracket with compatible actions on each other. We investigate its applications to the universal central ext…
-crossed modules and -capability of Lie algebras
Emzar Khmaladze, Manuel Ladra
Given a non-negative integer , we study two different notions of the -capability of Lie algebras via the non-abelian -exterior product of Lie algebras. The first is relate…
Actor of a crossed module of dialgebras via tetramultipliers
José Manuel Casas, Rafael Fernández-Casado, Xabier García-Martínez +1
We study the representability of actions in the category of crossed modules of dialgebras via tetramultipliers. We deduce a pair of dialgebras in order to construct an object which…
On some properties preserved by the non-abelian tensor product of Hom-Lie algebras
J. M. Casas, E. Khmaladze, N. Pacheco Rego
We study some properties of the non-abelian tensor product of Hom-Lie algebras concerning the preservation of products and quotients, solvability and nilpotency, and describe compa…
A non-abelian exterior product and homology of Leibniz algebras
Guram Donadze, Xabier García-Martínez, Emzar Khmaladze
We introduce a non-abelian exterior product of two crossed modules of Leibniz algebra and investigate its relation to the low dimensional Leibniz homology. Later this non-abelian e…
Actor of a crossed module of Leibniz algebras
José Manuel Casas, Rafael F. Casado, Xabier García-Martínez +1
We extend to the category of crossed modules of Leibniz algebras the notion of biderivation via the action of a Leibniz algebra. This results into a pair of Leibniz algebras which…