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Fundamentalnaya i Prikladnaya Matematika, 2020, Volume 23, Issue 3, Pages 49–74 (Mi fpm1898)  
A Jordan algebra of a Mal'tsev algebra

A. Yu. Golubkovab

a Bauman Moscow State Technical University, Faculty of Informatics and Control Systems, Moscow, Russia
b Moscow Center of Fundamental and Applied Mathematics, Moscow, Russia
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Abstract: 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.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics
This research was supported by MCFAM in MSU, project “Structure theory and combinatorial-logical methods in the theory of algebraic systems.”
English version:
Journal of Mathematical Sciences (New York), 2023, Volume 269, Issue 3, Pages 298–316
DOI: https://doi.org/10.1007/s10958-023-06282-8
Document Type: Article
UDC: 512.554.382+512.554.383+512.554.7
Language: Russian
Citation: A. Yu. Golubkov, “A Jordan algebra of a Mal'tsev algebra”, Fundam. Prikl. Mat., 23:3 (2020), 49–74; J. Math. Sci., 269:3 (2023), 298–316
Citation in format AMSBIB
\Bibitem{Gol20}
\by A.~Yu.~Golubkov
\paper A~Jordan algebra of a~Mal'tsev algebra
\jour Fundam. Prikl. Mat.
\yr 2020
\vol 23
\issue 3
\pages 49--74
\mathnet{http://mi.mathnet.ru/fpm1898}
\transl
\jour J. Math. Sci.
\yr 2023
\vol 269
\issue 3
\pages 298--316
\crossref{https://doi.org/10.1007/s10958-023-06282-8}
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