ON SEVERAL VARIETIES OF LEIBNIZ ALGEBRAS
- Authors: Skoraya T.1, Frolova Y.1
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Affiliations:
- Ulyanovsk State University
- Issue: Vol 17, No 5 (2011)
- Pages: 71-80
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/4834
- DOI: https://doi.org/10.18287/2541-7525-2011-17-5-71-80
- ID: 4834
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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