Residually solvable extensions of an infinite dimensional filiform Leibniz algebra
Rings and Algebras
2021-06-22 v2
Abstract
In the paper the class of all solvable extensions of a filiform Leibniz algebra in the infinite-dimensional case is classified. The filiform Leibniz algebra is taken as a maximal pro-nilpotent ideal of residually solvable Leibniz algebra. It is proven that the second cohomology group of the extension is trivial.
Keywords
Cite
@article{arxiv.2104.00557,
title = {Residually solvable extensions of an infinite dimensional filiform Leibniz algebra},
author = {K. K. Abdurasulov and B. A. Omirov and I. S. Rakhimov and G. O. Solijanova},
journal= {arXiv preprint arXiv:2104.00557},
year = {2021}
}
Comments
16 pages