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...
| Published in: | Journal of Algebra |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Academic Press Inc.
2021
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| 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 |
| Summary: | 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 trivial. © 2021 Elsevier Inc. |
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| ISSN: | 218693 |
| DOI: | 10.1016/j.jalgebra.2021.06.024 |