Lie Algebras over a field of positiv characteristic and their deformations
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Omsk Branch Fed State Budgetary Sci Estab, OB IM S, Omsk 644043 - Russia
[2] Univ Sao Paulo, Inst Math & Stat, BR-05508090 Sao Paulo - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION; v. 23, n. 8, p. 1881-1894, DEC 2013. |
| Web of Science Citations: | 1 |
| Abstract | |
We study the nilpotency degree of a relatively free finitely generated associative algebra with the identity x(n) = 0 over a finite field F with q elements. In the case of q >= n the nilpotency degree is proven to be the same as in the case of an infinite field of the same characteristic. In the case of q = n - 1 it is shown that the nilpotency degree differs from the nilpotency degree for an infinite field of the same characteristic by at most one. The nilpotency degree is explicitly computed for n = 3. (AU) | |
| FAPESP's process: | 11/51047-1 - Artem Lopatin | Omsk Branch of Institute of Mathematics - Russia |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |