On Generalizations of Jacobi–Jordan Algebras

On Generalizations of Jacobi–Jordan Algebras

In this paper, we present some generalizations of Jacobi–Jordan algebras. More concretely, we will focus on noncommutative Jacobi–Jordan algebras, Malcev–Jordan algebras, and general Jacobi–Jordan algebras. We adapt a method, used to classify Poisson algebras, in order to classify all general Jacobi...

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Bibliographic Details
Main Authors: Hani Abdelwahab, Naglaa Fathi Abdo, Elisabete Barreiro, José María Sánchez
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Axioms
Subjects:
Jacobi–Jordan algebras
Jordan algebras
noncommutative Jordan nilalgebras
algebraic classification
Online Access:https://www.mdpi.com/2075-1680/13/11/787
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