On nilpotent index and dibaricity of evolution algebras

DOI10.1016/j.laa.2013.03.006zbMath1343.17021arXiv1208.1709OpenAlexW2963917253MaRDI QIDQ389596

Bakhrom A. Omirov, Utkir A. Rozikov, Manuel Ladra Gonzalez, José Manuel Casas Mirás

Publication date: 21 January 2014

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

Full work available at URL: https://arxiv.org/abs/1208.1709

zbMATH Keywords

classificationnilpotent algebradibaric algebraévolution algebranilpotent index

Mathematics Subject Classification ID

Genetic algebras (17D92)

Related Items (21)

DERIVATIONS AND AUTOMORPHISMS OF NILPOTENT EVOLUTION ALGEBRA WITH INDEX OF NILPOTENCY (n-3) ⋮ Invitation to research of new mathematics from biology: Evolution algebras ⋮ On the characterization of the space of derivations in evolution algebras ⋮ Dealing with the resolubility of evolution algebras ⋮ A historical perspective of Tian's evolution algebras ⋮ The Jacobson radical of an evolution algebra ⋮ Algebraic computation of genetic patterns related to three-dimensional evolution algebras ⋮ Classification of nilpotent evolution algebras and extensions of their derivations ⋮ On the property of subalgebras of evolution algebras ⋮ Nilpotent evolution algebras over arbitrary fields ⋮ Analytic aspects of evolution algebras ⋮ Classification of asexual diploid organisms by means of strongly isotopic evolution algebras defined over any field ⋮ Evolution algebras of arbitrary dimension and their decompositions ⋮ Derivations and automorphisms of nilpotent evolution algebras with maximal nilindex ⋮ Evolution coalgebras ⋮ Few remarks on evolution algebras ⋮ A class of nilpotent evolution algebras ⋮ On the Hilbert evolution algebras of a graph ⋮ Evolution algebras and graphs ⋮ Some remarks on evolution algebras corresponding to permutations ⋮ Regular evolution algebras are universally finite

Cites Work

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• Evolution algebras generated by Gibbs measures
• Evolution algebras and their applications
• The algebraic and geometric classification of associative algebras of dimension five
• Dibaric and evolution algebras in biology
• SOME PROPERTIES OF EVOLUTION ALGEBRAS
• Algebraic structure of genetic inheritance
• The derivations of some evolution algebras
• On Evolution Algebras

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