On commutative nilalgebras of low dimension
We prove that every commutative non-associative nilalgebra of dimension ≤7, over a field of characteristic zero or sufficiently large is solvable.
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2010 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154497 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On commutative nilalgebras of low dimension / J.C. Gutierrez Fernandez // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 16–30. — Бібліогр.: 13 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862750437428428800 |
|---|---|
| author | Gutierrez Fernandez, J.C. |
| author_facet | Gutierrez Fernandez, J.C. |
| citation_txt | On commutative nilalgebras of low dimension / J.C. Gutierrez Fernandez // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 16–30. — Бібліогр.: 13 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | We prove that every commutative non-associative nilalgebra of dimension ≤7, over a field of characteristic zero or sufficiently large is solvable.
|
| first_indexed | 2025-12-07T21:05:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154497 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T21:05:25Z |
| publishDate | 2010 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Gutierrez Fernandez, J.C. 2019-06-15T16:10:30Z 2019-06-15T16:10:30Z 2010 On commutative nilalgebras of low dimension / J.C. Gutierrez Fernandez // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 16–30. — Бібліогр.: 13 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:17A05,17A30. https://nasplib.isofts.kiev.ua/handle/123456789/154497 We prove that every commutative non-associative nilalgebra of dimension ≤7, over a field of characteristic zero or sufficiently large is solvable. Partially Supported by FAPESP 05/01790-9 and FAPESP 2005/60337-2, Brazil en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On commutative nilalgebras of low dimension Article published earlier |
| spellingShingle | On commutative nilalgebras of low dimension Gutierrez Fernandez, J.C. |
| title | On commutative nilalgebras of low dimension |
| title_full | On commutative nilalgebras of low dimension |
| title_fullStr | On commutative nilalgebras of low dimension |
| title_full_unstemmed | On commutative nilalgebras of low dimension |
| title_short | On commutative nilalgebras of low dimension |
| title_sort | on commutative nilalgebras of low dimension |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154497 |
| work_keys_str_mv | AT gutierrezfernandezjc oncommutativenilalgebrasoflowdimension |