The locally finite radical of algebraic Mal'tsev algebras

A. Yu. Golubkov<sup>ab

a</sup> Bauman Moscow State Technical University
^b Moscow Center for Fundamental and Applied Mathematics

Abstract: This paper contains a number of sufficient conditions for which the locally finite radical of an algebraic Mal'tsev locally PI-algebra over a field of characteristic zero coincides with the set of all its locally strongly algebraic elements.

UDC: 512.554.382+512.554.383+512.554.7