| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Math & Stat, BR-05508090 Sao Paulo - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | Proceedings of the American Mathematical Society; v. 140, n. 9, p. 3049-3054, SEP 2012. |
| Web of Science Citations: | 0 |
| Abstract | |
We prove that the prime radical rad M of the free Malcev algebra M of rank more than two over a field of characteristic not equal 2 coincides with the set of all universally Engelian elements of M. Moreover, let T(M) be the ideal of M consisting of all stable identities of the split simple 7-dimensional Malcev algebra M over F. It is proved that rad M = J(M) boolean AND T(M), where J(M) is the Jacobian ideal of M. Similar results were proved by I. Shestakov and E. Zelmanov for free alternative and free Jordan algebras. (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 |