Solvable Leibniz superalgebras with nilradicals of the nilindex n + m.

Autor: Kh. A., Muratova
Předmět:
Zdroj: Uzbek Mathematical Journal; 2021, Vol. 65 Issue 2, p117-127, 11p
Abstrakt: In this article, we classify solvable Leibniz superalgebras whose nilradicals are Leibniz superalgebras with the characteristic sequence (n - 1; 1|m) of the nilindex n+m. It is proved that in the case when n = 2;m ≥ 3 there is no solvable Leibniz superalgebra with such nilradical. In the case of n ≥ 3, a classification of solvable Leibniz superalgebras with (n+m) - dimensional indecomposable nilradicals of the nilindex n + m is obtained. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index