Alexandr Ivanovich Kornev | Omsk State Transport University - Rússia
Leonid Makar Limanov | Wayne State University - Estados Unidos
Free Malcev and alternative superalgebras on one odd generator
| Full text | |
| Author(s): |
Kornev, Alexandr I.
[1]
Total Authors: 1
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| Affiliation: | [1] Fed Univ ABC UFABC, Santo Andre, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | Journal of Algebra; v. 405, p. 38-68, MAR 1 2014. |
| Web of Science Citations: | 0 |
| Abstract | |
We find a basis for the free Malcev algebra on three free generators over a field of characteristic zero. The semiprimity and speciality of this algebra are proved. Also, we prove the decomposability of this algebra into a subdirect sum of the free Lie algebra of rank three and the free algebra of rank three of the variety generated by a simple seven-dimensional Malcev algebra. These results were announced in {[}1]. (C) 2014 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 08/57680-5 - Alexandr Ivanovich Kornev | Omsk State Transport University - Rússia |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |