6 citations · 11 across the 5 of their papers we have counts for
5 papers
On the subalgebra lattice of solvable evolution algebras
Manuel Ladra, Pilar Páez-Guillán, Andrés Pérez-Rodríguez
The main objective of this paper is to study the relationship between a solvable evolution algebra and its subalgebra lattice, emphasizing two of its main properties: distributivit…
The geometric classification of non-associative algebras: a survey
Ivan Kaygorodov, Mykola Khrypchenko, Pilar Páez-Guillán
This is a survey on the geometric classification of different varieties of algebras (nilpotent, nil-, associative, commutative associative, cyclic associative, Jordan, Kokoris, sta…
Modularity conditions in Leibniz algebras
Pilar Páez-Guillán, Salvatore Siciliano, David A. Towers
In this paper we continue the study of the subalgebra lattice of a Leibniz algebra. In particular, we find out that solvable Leibniz algebras with an upper semi-modular lattice are…
Central extensions of axial algebras
Ivan Kaygorodov, Cándido Martín González, Pilar Páez-Guillán
In this article, we develop a further adaptation of the method of Skjelbred-Sund to construct central extensions of axial algebras. We use our method to prove that all axial centra…
One-generated nilpotent bicommutative algebras
Ivan Kaygorodov, Pilar Páez-Guillán, Vasily Voronin
We give a classification of - and -dimensional complex one-generated nilpotent bicommutative algebras.