6 papers
Evolution algebras, automorphisms, and graphs
Alberto Elduque, Alicia Labra
The affine group scheme of automorphisms of an evolution algebra that is equal to its square, is shown to lie in an exact sequence, such that the other terms depend solely on the d…
On nilpotent evolution algebras
Alberto Elduque, Alicia Labra
The type and several invariant subspaces related to the upper annihilating series of finite-dimensional nilpotent evolution algebras are introduced. These invariants can be easily…
Evolution algebras and graphs
Alberto Elduque, Alicia Labra
A digraph is attached to any evolution algebra. This graph leads to some new purely algebraic results on this class of algebras and allows for some new natural proofs of known resu…
Representations of Generalized Almost-Jordan algebras
Marcelo Flores, Alicia Labra
This paper deals with the variety of commutative algebras satisfying one of the four families of degree four identities found by Carini, Hentzel and Piacentini-Cattaneo in 1988. We…
On some Jordan baric algebras
Alberto Elduque, Alicia Labra
Several classes of baric algebras studied by different authors will be given a unified treatment, using the technique of gametization introduced by Mallol et al. Many of these alge…
A class of Locally Nilpotent Commutative Algebras
Antonio Behn, Alberto Elduque, Alicia Labra
This paper deals with the variety of commutative nonassociative algebras satisfying the identity , . Correa et al proved that if then any such…