Nilpotent evolution algebras over arbitrary fields

DOI10.1016/j.laa.2015.07.041zbMath1358.17041arXiv1508.06860OpenAlexW1944821415MaRDI QIDQ498327

Hani Abdelwahab, Ahmed Sadek Hegazi

Publication date: 28 September 2015

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

Full work available at URL: https://arxiv.org/abs/1508.06860

zbMATH Keywords

automorphism groupannihilator extensionnilpotent evolution algebra

Mathematics Subject Classification ID

Other nonassociative rings and algebras (17D99) Genetic algebras (17D92)

Related Items (22)

DERIVATIONS AND AUTOMORPHISMS OF NILPOTENT EVOLUTION ALGEBRA WITH INDEX OF NILPOTENCY (n-3) ⋮ On nilpotent evolution algebras ⋮ On the classification of bilinear maps with radical of a fixed codimension ⋮ New advances on (pseudo)digraphs and evolution algebras ⋮ A historical perspective of Tian's evolution algebras ⋮ On properties of some nilpotent evolution algebras and their enveloping algebras ⋮ The algebraic and geometric classification of nilpotent Novikov algebras ⋮ Algebraic computation of genetic patterns related to three-dimensional evolution algebras ⋮ Finite dimensional evolution algebras and (pseudo)digraphs ⋮ Classification of nilpotent evolution algebras and extensions of their derivations ⋮ Central extensions of 4-dimensional binary Lie algebras ⋮ DERIVATIONS IN POWER-ASSOCIATIVE EVOLUTION ALGEBRAS ⋮ A class of non-associative Nilpotent Jordan algebras ⋮ Power-Associative Evolution Algebras ⋮ The classification of n-dimensional anticommutative algebras with (n − 3)-dimensional annihilator ⋮ Chains in evolution algebras ⋮ Classification of asexual diploid organisms by means of strongly isotopic evolution algebras defined over any field ⋮ Derivations and automorphisms of nilpotent evolution algebras with maximal nilindex ⋮ Volterra evolution algebras and their graphs ⋮ A class of nilpotent evolution algebras ⋮ The Variety of Nilpotent Tortkara Algebras ⋮ Central extensions of filiform associative algebras

Cites Work

• Unnamed Item
• On nilpotent index and dibaricity of evolution algebras
• Evolution algebras generated by Gibbs measures
• Evolution algebras and their applications
• Generic finite schemes and Hochschild cocycles
• Classification of nilpotent Lie superalgebras of dimension five. I
• SOME PROPERTIES OF EVOLUTION ALGEBRAS
• Contractions of Low-Dimensional Nilpotent Jordan Algebras
• 7-Dimensional Nilpotent Lie Algebras
• On Evolution Algebras
• FINITELY GENERATED NIL BUT NOT NILPOTENT EVOLUTION ALGEBRAS

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