This article is cited in 2 papers

A Jordan algebra of a Mal'tsev algebra

A. Yu. Golubkov<sup>ab

a</sup> Bauman Moscow State Technical University, Faculty of Informatics and Control Systems, Moscow, Russia
^b Moscow Center of Fundamental and Applied Mathematics, Moscow, Russia

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.

UDC: 512.554.382+512.554.383+512.554.7

 English version: Journal of Mathematical Sciences (New York), 2023, 269:3, 298–316