Open AccessON SEVERAL VARIETIES OF LEIBNIZ ALGEBRAS
Author(s) -
T. V. Skoraya,
Yu. Yu. Frolova
Publication year - 2011
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2011-17-5-71-80
Subject(s) - variety (cybernetics) , mathematics , nilpotent , pure mathematics , prime (order theory) , multilinear map , class (philosophy) , construct (python library) , algebra over a field , field (mathematics) , space (punctuation) , computer science , combinatorics , artificial intelligence , statistics , programming language , operating system
The paper is devoted to two new results concerning varieties of Leibniz algebras. In case of prime characteristic p we construct an example of a non-nilpotent variety of Leibniz algebras with Engel condition. In case of field of characteristic zero we obtain a new result concerning the space of multilinear componentsof the variety of left-nilpotent Leibniz algebra of class three.