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A Jordan Algebra of a Mal’tsev Algebra

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This paper is devoted to the generalization of the construction of a Jordan algebra of a Lie algebra and the known theorems on the local finite-dimensionality of Lie PI-algebras with an algebraic adjoint representation to Mal’tsev algebras.

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Authors and Affiliations

  1. Bauman Moscow State Technical University, Faculty of Informatics and Control Systems, Moscow, Russia

    A. Yu. Golubkov

  2. Moscow Center of Fundamental and Applied Mathematics, Moscow, Russia

    A. Yu. Golubkov

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  1. A. Yu. Golubkov
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Correspondence to A. Yu. Golubkov.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 23, No. 3, pp. 49–74, 2020.

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Golubkov, A.Y. A Jordan Algebra of a Mal’tsev Algebra. J Math Sci 269, 298–316 (2023). https://doi.org/10.1007/s10958-023-06282-8

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