Derivations and automorphisms of nilpotent evolution algebras with maximal nilindex

DOI10.1142/S0219498819502335zbMath1456.17019arXiv1805.10285OpenAlexW2965939211MaRDI QIDQ5206064

Izzat Qaralleh, Farrukh Mukhamedov, Bakhrom A. Omirov, Otabek Khakimov

Publication date: 17 December 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.10285

zbMATH Keywords

automorphismderivationevolution algebralocal derivation

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Nonassociative algebras satisfying other identities (17A30) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Genetic algebras (17D92)

Related Items (9)

DERIVATIONS AND AUTOMORPHISMS OF NILPOTENT EVOLUTION ALGEBRA WITH INDEX OF NILPOTENCY (n-3) ⋮ DERIVATION OF SOME NILPOTENT EVOLUTION ALGEBRA ⋮ Derivations of evolution algebras associated to graphs over a field of any characteristic ⋮ On the characterization of the space of derivations in evolution algebras ⋮ A historical perspective of Tian's evolution algebras ⋮ Automorphism groups of Cayley evolution algebras ⋮ Classification in chains of three-dimensional real evolution algebras ⋮ Genetic Algebras generated by b−bistochastic Quadratic Stochastic Operators: The Character and Associativity ⋮ Characterization theorems for the spaces of derivations of evolution algebras associated to graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On nilpotent evolution algebras
• On nilpotent index and dibaricity of evolution algebras
• Nilpotent evolution algebras over arbitrary fields
• Classification of three-dimensional evolution algebras
• Evolution algebras and their applications
• The interpretation of derivations in genetic algebras
• Local derivations
• SOME PROPERTIES OF EVOLUTION ALGEBRAS
• A survey on local and 2-local derivations on C*- and von Neuman 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
• Description of Three Dimensional Solvable Evaluation Algebras
• On Evolution Algebras
• Genetic Volterra algebras and their derivations
• FINITELY GENERATED NIL BUT NOT NILPOTENT EVOLUTION ALGEBRAS
• A Note on Automorphisms and Derivations of Lie Algebras

This page was built for publication: Derivations and automorphisms of nilpotent evolution algebras with maximal nilindex