3 papers
math.RA2026
Leibniz algebras and their connection to Jordan pair disystems
Esther García, Miguel Gómez Lozano, Rubén Muñoz Alcázar +1
In this paper we present a generalization of Jordan pairs, called Jordan pair disystem, which appear naturally as the wings of a Leibniz algebra with a finite -grading;…
math.RA2021
Decompositions of Matrices into Potent and Square-Zero Matrices
Peter Danchev, Esther Garcia, Miguel Gomez Lozano
In order to find a suitable expression of an arbitrary square matrix over an arbitrary finite commutative ring, we prove that every such a matrix is always representable as a sum o…
math.RA2011
Abelian gradings in Lie algebras
Esther Garcia, Miguel Gomez Lozano
Given a Lie algebra graded by a group , if is does not contain orthogonal graded ideals and is generated by the support of , then is an abelian group.