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Ternary Associativity and Ternary Lie Algebras at Cube Roots of Unity

We propose a new approach to extend the notion of commutator and Lie algebra to algebras with ternary multiplication laws. Our approach is based on the ternary associativity of the first and second kinds. We propose a ternary commutator, which is a linear combination of six triple products (all perm...

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Detaylı Bibliyografya
Yazar: Viktor Abramov
Materyal Türü: Artigo
Dil:Inglês
Baskı/Yayın Bilgisi: MDPI AG 2024-10-01
Seri Bilgileri:Axioms
Konular:
Online Erişim:https://www.mdpi.com/2075-1680/13/10/687
Etiketler: Etiketle
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