| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4584973 | Journal of Algebra | 2014 | 31 Pages |
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].
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alexandr I. Kornev,