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Titlebook: Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures; Foundations and Appl Mahouton Norbert Hounkonnou,

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https://doi.org/10.1007/978-1-349-22129-5lore various dynamical flows associated to the Souriau form associated to this generalized Feynman-Dyson’s scheme. Moreover, using the Souriau form we show that these new classes of generalized systems are volume preserving mechanical systems.
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Ternary Leibniz Color Algebras and Beyond,nary Leibniz color algebra is also a bimodule over the given ternary Leibniz color algebra. Then, we introduce Leibniz-Poisson color algebra and study some of their properties. Finally, we give a brief description of Lie triple systems, Jordan triple systems and Comstrans algebras. The connection among them are also studied.
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A Primer on Noncommutative Classical Dynamics on Velocity Phase Space and Souriau Formalism,lore various dynamical flows associated to the Souriau form associated to this generalized Feynman-Dyson’s scheme. Moreover, using the Souriau form we show that these new classes of generalized systems are volume preserving mechanical systems.
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(Hom-)(co)associative Ternary (Co)algebras and Infinitesimal Ternary (Hom-)bialgebras,hed pairs are defined and completely characterized. Main structural properties and relations are also deduced and analyzed. In addition, the partially and totally hom-coassociative ternary coalgebras and their infinitesimal bialgebraic structures are constructed and discussed.
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