30 citations · 52 across the 12 of their papers we have counts for
15 papers
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…
Wells type exact sequence and crossed extensions of algebras with bracket
José Manuel Casas, Emzar Khmaladze, Manuel Ladra
We study the extensibility problem of a pair of derivations associated with an abelian extension of algebras with bracket, and derive an exact sequence of the Wells type. We introd…
-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…
On capability of Leibniz algebras
Emzar Khmaladze, Revaz Kurdiani, Manuel Ladra
We study the capability property of Leibniz algebras via the non-abelian exterior product.