ON NILALGEBRAS OVER INFINITE FIELD WITH SOLVABLE ASSOCIATED GROUP
It is proved that if an associated group A* of a nilalgebra A over an infinite field is solvable of class n then algebra A is solvable of the same class n as the Lie algebra.
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| Format: | Article |
| Language: | Russian |
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Belarusian National Technical University
2006-04-01
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| Series: | Наука и техника |
| Online Access: | https://sat.bntu.by/jour/article/view/1185 |
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| _version_ | 1846144972390137856 |
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| author | M. B. Smirnov |
| author_facet | M. B. Smirnov |
| author_sort | M. B. Smirnov |
| collection | DOAJ |
| description | It is proved that if an associated group A* of a nilalgebra A over an infinite field is solvable of class n then algebra A is solvable of the same class n as the Lie algebra. |
| format | Article |
| id | doaj-art-eb00da3541fb4ea7b7426ceac9bea192 |
| institution | Kabale University |
| issn | 2227-1031 2414-0392 |
| language | Russian |
| publishDate | 2006-04-01 |
| publisher | Belarusian National Technical University |
| record_format | Article |
| series | Наука и техника |
| spelling | doaj-art-eb00da3541fb4ea7b7426ceac9bea1922024-12-02T06:46:29ZrusBelarusian National Technical UniversityНаука и техника2227-10312414-03922006-04-0102666810.21122/2227-1031-2006-0-2-66-681111ON NILALGEBRAS OVER INFINITE FIELD WITH SOLVABLE ASSOCIATED GROUPM. B. Smirnov0Belarusian National Technical UniversityIt is proved that if an associated group A* of a nilalgebra A over an infinite field is solvable of class n then algebra A is solvable of the same class n as the Lie algebra.https://sat.bntu.by/jour/article/view/1185 |
| spellingShingle | M. B. Smirnov ON NILALGEBRAS OVER INFINITE FIELD WITH SOLVABLE ASSOCIATED GROUP Наука и техника |
| title | ON NILALGEBRAS OVER INFINITE FIELD WITH SOLVABLE ASSOCIATED GROUP |
| title_full | ON NILALGEBRAS OVER INFINITE FIELD WITH SOLVABLE ASSOCIATED GROUP |
| title_fullStr | ON NILALGEBRAS OVER INFINITE FIELD WITH SOLVABLE ASSOCIATED GROUP |
| title_full_unstemmed | ON NILALGEBRAS OVER INFINITE FIELD WITH SOLVABLE ASSOCIATED GROUP |
| title_short | ON NILALGEBRAS OVER INFINITE FIELD WITH SOLVABLE ASSOCIATED GROUP |
| title_sort | on nilalgebras over infinite field with solvable associated group |
| url | https://sat.bntu.by/jour/article/view/1185 |
| work_keys_str_mv | AT mbsmirnov onnilalgebrasoverinfinitefieldwithsolvableassociatedgroup |