Residually solvable extensions of an infinite dimensional filiform Leibniz algebra

In the paper we describe the class of all solvable extensions of an infinite-dimensional filiform Leibniz algebra. The filiform Leibniz algebra is taken as a maximal pro-nilpotent ideal of a residually solvable Leibniz algebra. It is proven that the second cohomology group of the extension is trivia...

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Bibliographic Details
Published in:Journal of Algebra
Main Author: Abdurasulov K.K.; Omirov B.A.; Rakhimov I.S.; Solijanova G.O.
Format: Article
Language:English
Published: Academic Press Inc. 2021
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85114753629&doi=10.1016%2fj.jalgebra.2021.06.024&partnerID=40&md5=79b99056e6a667035d894401d5b544bf