3 papers
math.RA2024
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…
math.RA2023
-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…
math.RA2016
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…