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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| Format: | Article |
| Language: | English |
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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 |
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2-s2.0-85114753629 |
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2-s2.0-85114753629 Abdurasulov K.K.; Omirov B.A.; Rakhimov I.S.; Solijanova G.O. Residually solvable extensions of an infinite dimensional filiform Leibniz algebra 2021 Journal of Algebra 585 10.1016/j.jalgebra.2021.06.024 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85114753629&doi=10.1016%2fj.jalgebra.2021.06.024&partnerID=40&md5=79b99056e6a667035d894401d5b544bf 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. Academic Press Inc. 218693 English Article All Open Access; Green Open Access |
| author |
Abdurasulov K.K.; Omirov B.A.; Rakhimov I.S.; Solijanova G.O. |
| spellingShingle |
Abdurasulov K.K.; Omirov B.A.; Rakhimov I.S.; Solijanova G.O. Residually solvable extensions of an infinite dimensional filiform Leibniz algebra |
| author_facet |
Abdurasulov K.K.; Omirov B.A.; Rakhimov I.S.; Solijanova G.O. |
| author_sort |
Abdurasulov K.K.; Omirov B.A.; Rakhimov I.S.; Solijanova G.O. |
| title |
Residually solvable extensions of an infinite dimensional filiform Leibniz algebra |
| title_short |
Residually solvable extensions of an infinite dimensional filiform Leibniz algebra |
| title_full |
Residually solvable extensions of an infinite dimensional filiform Leibniz algebra |
| title_fullStr |
Residually solvable extensions of an infinite dimensional filiform Leibniz algebra |
| title_full_unstemmed |
Residually solvable extensions of an infinite dimensional filiform Leibniz algebra |
| title_sort |
Residually solvable extensions of an infinite dimensional filiform Leibniz algebra |
| publishDate |
2021 |
| container_title |
Journal of Algebra |
| container_volume |
585 |
| container_issue |
|
| doi_str_mv |
10.1016/j.jalgebra.2021.06.024 |
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85114753629&doi=10.1016%2fj.jalgebra.2021.06.024&partnerID=40&md5=79b99056e6a667035d894401d5b544bf |
| description |
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. |
| publisher |
Academic Press Inc. |
| issn |
218693 |
| language |
English |
| format |
Article |
| accesstype |
All Open Access; Green Open Access |
| record_format |
scopus |
| collection |
Scopus |
| _version_ |
1809677893272338432 |