On some classes of solvable Leibniz algebras and their completeness
The paper is devoted studying solvable Leibniz algebras with a nilradical possessing the codimension equals the number of its generators. We describe this class in non-split nilradical case up to isomorphism. Then the case of split nilradical is worked out. We show that the results obtained earlier...
| Published in: | Journal of Algebra |
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| Format: | Article |
| Language: | English |
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Academic Press Inc.
2022
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85135687431&doi=10.1016%2fj.jalgebra.2022.07.018&partnerID=40&md5=92b10bdb91c02de13166859a36433699 |
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2-s2.0-85135687431 Abdurasulov K.K.; Omirov B.A.; Rakhimov I.S. On some classes of solvable Leibniz algebras and their completeness 2022 Journal of Algebra 610 10.1016/j.jalgebra.2022.07.018 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85135687431&doi=10.1016%2fj.jalgebra.2022.07.018&partnerID=40&md5=92b10bdb91c02de13166859a36433699 The paper is devoted studying solvable Leibniz algebras with a nilradical possessing the codimension equals the number of its generators. We describe this class in non-split nilradical case up to isomorphism. Then the case of split nilradical is worked out. We show that the results obtained earlier on this class of Leibniz algebras come as particular cases of the results of this paper. It is shown that such a solvable extension is unique. Finally, we prove that the solvable Leibniz algebras considered are complete. © 2022 Elsevier Inc. Academic Press Inc. 218693 English Article |
| author |
Abdurasulov K.K.; Omirov B.A.; Rakhimov I.S. |
| spellingShingle |
Abdurasulov K.K.; Omirov B.A.; Rakhimov I.S. On some classes of solvable Leibniz algebras and their completeness |
| author_facet |
Abdurasulov K.K.; Omirov B.A.; Rakhimov I.S. |
| author_sort |
Abdurasulov K.K.; Omirov B.A.; Rakhimov I.S. |
| title |
On some classes of solvable Leibniz algebras and their completeness |
| title_short |
On some classes of solvable Leibniz algebras and their completeness |
| title_full |
On some classes of solvable Leibniz algebras and their completeness |
| title_fullStr |
On some classes of solvable Leibniz algebras and their completeness |
| title_full_unstemmed |
On some classes of solvable Leibniz algebras and their completeness |
| title_sort |
On some classes of solvable Leibniz algebras and their completeness |
| publishDate |
2022 |
| container_title |
Journal of Algebra |
| container_volume |
610 |
| container_issue |
|
| doi_str_mv |
10.1016/j.jalgebra.2022.07.018 |
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85135687431&doi=10.1016%2fj.jalgebra.2022.07.018&partnerID=40&md5=92b10bdb91c02de13166859a36433699 |
| description |
The paper is devoted studying solvable Leibniz algebras with a nilradical possessing the codimension equals the number of its generators. We describe this class in non-split nilradical case up to isomorphism. Then the case of split nilradical is worked out. We show that the results obtained earlier on this class of Leibniz algebras come as particular cases of the results of this paper. It is shown that such a solvable extension is unique. Finally, we prove that the solvable Leibniz algebras considered are complete. © 2022 Elsevier Inc. |
| publisher |
Academic Press Inc. |
| issn |
218693 |
| language |
English |
| format |
Article |
| accesstype |
|
| record_format |
scopus |
| collection |
Scopus |
| _version_ |
1809677890928771072 |