ON SEVERAL VARIETIES OF LEIBNIZ ALGEBRAS



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Abstract

The paper is devoted to two new results concerning varieties of Leibniz alge
bras. In case of prime characteristic p we construct an example of a non-nilpo
tent variety of Leibniz algebras with Engel condition. In case of field of character
istic zero we obtain a new result concerning the space of multilinear components
of the variety of left-nilpotent Leibniz algebra of class three.

About the authors

T.V. Skoraya

Ulyanovsk State University

Author for correspondence.
Email: morenov.sv@ssau.ru

Yu.Yu. Frolova

Ulyanovsk State University

Email: morenov.sv@ssau.ru

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Copyright (c) 2011 Skoraya T., Frolova Y.

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