Derivations and loops of some evolution algebras

DOI10.1007/s13398-023-01446-2arXiv2203.13657OpenAlexW4382007470MaRDI QIDQ6100712

Tiago B. S. Reis, Yolanda Cabrera Casado, Paula Cadavid

Publication date: 22 June 2023

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.13657

zbMATH Keywords

graphderivationgenetic algebraVolterra evolution algebra

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Real and complex fields (12D99) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Genetic algebras (17D92)

Related Items (2)

Peirce decompositions for evolution algebras ⋮ Non-degenerate evolution algebras

Cites Work

• Unnamed Item
• Classification of three-dimensional evolution algebras
• Evolution algebras and their applications
• Natural families in evolution algebras
• Basic ideals in evolution algebras
• On the characterization of the space of derivations in evolution algebras
• A historical perspective of Tian's evolution algebras
• DERIVATION OF THREE-DIMENSIONAL EVOLUTION ALGEBRA
• The derivations of some evolution algebras
• Volterra evolution algebras and their graphs
• Evolution algebras, automorphisms, and graphs
• Characterization theorems for the spaces of derivations of evolution algebras associated to graphs
• Squares and associative representations of two-dimensional evolution algebras
• Derivations of evolution algebras associated to graphs over a field of any characteristic
• Evolution algebras and graphs
• Evolution algebras of arbitrary dimension and their decompositions

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