VARIETIES OF RESIDUALLY FINITE LIE ALGEBRAS

Alexander Premet; K. N. Semenov

doi:10.1070/sm1990v065n01abeh001142

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VARIETIES OF RESIDUALLY FINITE LIE ALGEBRAS

Alexander Premet K. N. Semenov

Year: 1990 Journal: Mathematics of the USSR-Sbornik Vol: 65 (1)Pages: 109-118 Publisher: IOP Publishing

DOI: 10.1070/sm1990v065n01abeh001142

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Abstract

Lie algebras over a finite field of characteristic p>3 are studied. It is proved that all algebras of a variety of Lie algebras are residually finite if and only if the variety is generated by a finite algebra all of whose nilpotent subalgebras are abelian. Bibliography: 14 titles.

Keywords:

Pure mathematics Mathematics Psychology Algebra over a field

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Nonlinear Differential Equations Analysis

Physical Sciences → Mathematics → Applied Mathematics

Nonlinear Waves and Solitons

Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

VARIETIES OF RESIDUALLY FINITE LIE ALGEBRAS

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