35 citations · 80 across the 26 of their papers we have counts for
29 papers
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…
On some properties of -centroids of Leibniz algebras
José Manuel Casas, Xabier García-Martínez, Natalia Pachego-Rego
We study some properties on -centroids related to central -derivations, generalized -derivations and almost inner -derivatio…
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 the capablility of Hom-Lie algebras
José Manuel Casas, Xabier García-Martínez
A Hom-Lie algebra is said to be capable if there exists a Hom-Lie algebra such that . We obtain a characterisation of capable Hom-Lie algebras…
Lie-central derivations, Lie-centroids and Lie-stem Leibniz algebras
G. R. Biyogmam, J. M. Casas, N. Pacheco Rego
In this paper, we introduce the notion Lie-derivation. This concept generalizes derivations for non-Lie Leibniz algebras. We study these Lie-derivations in the case where their ima…
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…