Evolution algebras and graphs-Reference-Cited by-同舟云学术

Evolution algebras and graphs

Published:2015-04-24 Issue:07 Volume:14 Page:1550103
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Elduque Alberto¹,Labra Alicia²

Affiliation:

1. Departamento de Matemáticas e Instituto, Universitario de Matemáticas y Aplicaciones, Universidad de Zaragoza, 50009 Zaragoza, Spain

2. Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile

Abstract

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 results. Nilpotency of an evolution algebra will be proved to be equivalent to the nonexistence of oriented cycles in the graph. Besides, the automorphism group of any evolution algebra ℰ with ℰ = ℰ2 will be shown to be always finite.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498815501030

Reference8 articles.

1. SOME PROPERTIES OF EVOLUTION ALGEBRAS

2. On nilpotent index and dibaricity of evolution algebras

3. On Evolution Algebras

4. Evolution algebras generated by Gibbs measures

5. Evolution Algebras and their Applications

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