30 citations · 52 across the 12 of their papers we have counts for
3 papers · 2 filters
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…
A non-abelian Hom-Leibniz tensor product and applications
J. M. Casas, E. Khmaladze, N. Pacheco Rego
The notion of non-abelian Hom-Leibniz tensor product is introduced and some properties are established. This tensor product is used in the description of the universal (-)centra…