| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil
[2] Sobolev Inst Math, Novosibirsk - Russia
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN ALGEBRA; v. 48, n. 7 MAR 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
We prove that every locally nilpotent derivation D of the free associative algebra over a field of characteristic 0 is triangulable, that is, admits a system of generators of A such that This is an analog of the well-known Rentschler theorem for the algebra of polynomials As a corollary, we obtain a new proof of the classical Czerniakiewicz-Makar Limanov theorem on the isomorphism of the groups and for the case of characteristic O. Communicated by Pavel Kolesnikov (AU) | |
| FAPESP's process: | 18/23690-6 - Structures, representations, and applications of algebraic systems |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |