Zobrazeno 1 - 10
of 862
pro vyhledávání: '"evolution algebras"'
Autor:
Casado, Yolanda Cabrera, Gonçalves, María Inez Cardoso, Gonçalves, Daniel, Barquero, Dolores Martín, González, Cándido Martín, Campos, Iván Ruiz
In this paper, we establish a connection between evolution algebras of dimension two and Hopf algebras, via the algebraic group of automorphisms of an evolution algebra. Initially, we describe the Hopf algebra associated with the automorphism group o
Externí odkaz:
http://arxiv.org/abs/2407.15769
A connected graph can be associated with two distinct evolution algebras. In the first case, the structural matrix is the adjacency matrix of the graph itself. In the second case, the structural matrix is the transition probabilities matrix of the sy
Externí odkaz:
http://arxiv.org/abs/2405.12341
The group scheme of ternary automorphisms of a perfect finite dimensional evolution algebra A is computed. The main advantage of using group schemes is that it allows to apply the Lie functor to determine the Lie algebra of ternary derivations of A.
Externí odkaz:
http://arxiv.org/abs/2405.10241
Autor:
Casado, Yolanda Cabrera, Gonçalves, Maria Inez Cardoso, Gonçalves, Daniel, Barquero, Dolores Martín, González, Cándido Martín, Campos, Iván Ruiz
The leitmotiv of this paper is linking algebraic properties of an evolution algebra with combinatorial properties of the (possibly several) graphs that one can associate to the algebra. We link nondegeneracy, zero annihilator, absorption property, vo
Externí odkaz:
http://arxiv.org/abs/2404.08752
We establish that the natural permutation representation of highly transitive groups cannot be realized as the full group of automorphisms of an idempotent finite-dimensional evolution algebra acting on the set of lines spanned by natural elements. F
Externí odkaz:
http://arxiv.org/abs/2401.05924
Hilbert evolution algebras generalize evolution algebras through a framework of Hilbert spaces. In this work we focus on infinite-dimensional Hilbert evolution algebras and their representation through a suitably defined weighted digraph. By means of
Externí odkaz:
http://arxiv.org/abs/2311.08387
We consider the intersection $\mathfrak{M}(A)$ of all maximal ideals of an evolution algebra $A$ and study the structure of the quotient $A/\M(A)$. In a previous work, maximal ideals have been related to hereditary subsets of a graph associated to th
Externí odkaz:
http://arxiv.org/abs/2311.00102
Autor:
Wei, Yangjiang, Zou, Yi Ming
Publikováno v:
LAA 675 (2023)
We showed that isomorphism classes of idempotent evolution algebras are in bijection with the orbits of the semidirect product group of the symmetric group and the torus, considered the combinatoric problem of enumeration of isomorphism classes for t
Externí odkaz:
http://arxiv.org/abs/2310.12368
In this article, we introduce a relation including ideals of an evolution algebra and hereditary subsets of vertices of its associated graph and establish some properties among them. This relation allows us to determine maximal ideals and ideals havi
Externí odkaz:
http://arxiv.org/abs/2303.04461