3 citations · 9 across the 7 of their papers we have counts for
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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…
Universal -central extensions of hom-Leibniz -algebras
J. M. Casas, N. Pacheco Rego
We construct homology with trivial coefficients of Hom-Leibniz -algebras. We introduce and characterize universal ()-central extensions of Hom-Leibniz -algebras. In partic…
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…
A non-abelian tensor product of Hom-Lie algebras
J. M. Casas, E. Khmaladze, N. Pacheco Rego
Non-abelian tensor product of Hom-Lie algebras is constructed and studied. This tensor product is used to describe universal (-)central extensions of Hom-Lie algebras and to est…
On the univeral α-central extensions of the semi-direct product of Hom-Leibniz algebras
J. M. Casas, N Pacheco Regon
We introduce Hom-actions, semi-direct product and establish the equivalence between split extensions and the semi-direct product extension of Hom-Leibniz algebras. We analyze the f…
On universal central extensions of Hom_Leibniz algebras
J. M. Casas, M. A. Insua, N. Pacheco Rego
In the category of Hom-Leibniz algebras we introduce the notion of representation as adequate coefficients to construct the chain complex to compute the Leibniz homology of Hom-Lei…
On universal central extensions of Hom-Lie algebras
J. M. Casas, M. A. Insua, N. Pacheco
We develop a theory of universal central extensions of Hom-Lie algebras. Classical results of universal central extensions of Lie algebras cannot be completely extended to Hom-Lie…