On varieties of Lie algebras with infinite basis property

Published 29 Jan 2023 in math.RA | (2301.12572v1)

Abstract: Over an arbitrary field of positive characteristic we construct an example of a locally finite variety of Lie algebras which does not have a finite basis of its polynomial identities. As a consequence we construct varieties of Lie algebras with prescribed properties.

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Vesselin S. Drensky

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