This article is cited in 4 papers

Approximations of Lie algebras

Yu. A. Bakhturin

M. V. Lomonosov Moscow State University

Abstract: It is proved that a finitely generated metabelian Lie algebra over an arbitrary field can be approximated by finite-dimensional algebras and a stronger result is also obtained over fields of nonzero characteristics.

UDC: 519.4

Received: 12.07.1971

 English version: Mathematical Notes, 1972, 12:6, 868–870

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