30 citations · 130 across the 58 of their papers we have counts for
66 papers
Representations of compatible Lie algebras
Xabier García-Martínez, Manuel Ladra, Bernardo Leite da Cunha +1
We study compatible Lie algebras from algebraic and representation-theoretic points of view, obtaining counterexamples to some fundamental theorems from classical Lie algebra theor…
Further results on modularity in evolution algebras
Manuel Ladra, Andrés Pérez-Rodríguez
In this paper, we study modularity in the context of evolution algebras. Although this property has been previously considered, a complete description is still missing in several n…
Schur's theorem and its relation to the closure properties of the non-abelian tensor product
Guram Donadze, Manuel Ladra, Pilar Páez-Guillán
We show that the Schur multiplier of a Noetherian group need not be finitely generated. We prove that the non-abelian tensor product of a polycyclic (resp. polycyclic-by-finite) gr…
HNN-extension of Lie superalgebras
Manuel Ladra, Pilar Páez-Guillán, Chia Zargeh
We construct HNN-extensions of Lie superalgebras and prove that every Lie superalgebra embeds into any of its HNN-extensions. Then as an application we show that any Lie superalgeb…
On a family of non-Volterra quadratic operators acting on a simplex
Uygun Jamilov, Manuel Ladra
In the present paper, we consider a convex combination of non-Volterra quadratic stochastic operators defined on a finite-dimensional simplex depending on a parameter and study…
A Frattini theory for evolution algebras
Manuel Ladra, Andrés Pérez-Rodríguez
This paper develops a Frattini theory for evolution algebras defining the Frattini subalgebra as the intersection of all maximal subalgebras, and the Frattini ideal as the largest…