Characterization theorems for the spaces of derivations of evolution algebras associated to graphs

DOI10.1080/03081087.2018.1541962zbMath1470.17002arXiv1807.02493OpenAlexW2873865396WikidataQ114641352 ScholiaQ114641352MaRDI QIDQ4965919

Paula Cadavid, Pablo M. Rodríguez, Mary Luz Rodiño Montoya

Publication date: 18 March 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.02493

zbMATH Keywords

graphderivationevolution algebratwin verticesgenetic algebra

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Other nonassociative rings and algebras (17D99) Genetic algebras (17D92)

Related Items (8)

Derivations of evolution algebras associated to graphs over a field of any characteristic ⋮ New advances on (pseudo)digraphs and evolution algebras ⋮ On the characterization of the space of derivations in evolution algebras ⋮ A historical perspective of Tian's evolution algebras ⋮ Derivations and loops of some evolution algebras ⋮ Hilbert evolution algebras and its connection with discrete-time Markov chains ⋮ The connection between evolution algebras, random walks and graphs ⋮ On the Hilbert evolution algebras of a graph

Cites Work

• Unnamed Item
• Certain particular families of graphicable algebras
• Mathematical tools for the future: graph theory and graphicable algebras
• Graph-theoretic concepts in computer science. 38th international workshop, WG 2012, Jerusalem, Israel, June 26--28, 2012. Revised selected papers
• Structural properties of twin-free graphs
• Evolution algebras and their applications
• The interpretation of derivations in genetic algebras
• The derivation algebra of gametic algebra for linked loci
• Bernstein algebras with zero derivation algebra
• The determinant of the wheel graph and conjectures by Yong
• Determinants of adjacency matrices of graphs
• SOME PROPERTIES OF EVOLUTION ALGEBRAS
• Invitation to research of new mathematics from biology: Evolution algebras
• On the derivations of gametic algebras for polyploidy with multiple alleles
• On the derivation algebra of zygotic algebras for polyploidy with multiple alleles
• Derivations in genetic algebras
• The derivations of some evolution algebras
• The connection between evolution algebras, random walks and graphs
• Derivations and automorphisms of nilpotent evolution algebras with maximal nilindex
• Evolution algebras and graphs

This page was built for publication: Characterization theorems for the spaces of derivations of evolution algebras associated to graphs