ASSOCIATIVE RINGS SOLVED AS LIE RINGS
The paper has proved that an associative ring which is solvable of a n- class as a Lie ring has a nilpotent ideal of the nilpotent class not more than 3×10n–2 and a corresponding quotient ring satisfies an identity [[x1, x2, [x3, x4]], x5] = 0.
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| Format: | Article |
| Language: | Russian |
| Published: |
Belarusian National Technical University
2011-06-01
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| Series: | Наука и техника |
| Online Access: | https://sat.bntu.by/jour/article/view/410 |
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| _version_ | 1846144796748414976 |
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| author | M. B. Smirnov |
| author_facet | M. B. Smirnov |
| author_sort | M. B. Smirnov |
| collection | DOAJ |
| description | The paper has proved that an associative ring which is solvable of a n- class as a Lie ring has a nilpotent ideal of the nilpotent class not more than 3×10n–2 and a corresponding quotient ring satisfies an identity [[x1, x2, [x3, x4]], x5] = 0. |
| format | Article |
| id | doaj-art-7f3c23e5ccbc4c3a8e3e4c24c0821590 |
| institution | Kabale University |
| issn | 2227-1031 2414-0392 |
| language | Russian |
| publishDate | 2011-06-01 |
| publisher | Belarusian National Technical University |
| record_format | Article |
| series | Наука и техника |
| spelling | doaj-art-7f3c23e5ccbc4c3a8e3e4c24c08215902024-12-02T06:52:47ZrusBelarusian National Technical UniversityНаука и техника2227-10312414-03922011-06-01033840403ASSOCIATIVE RINGS SOLVED AS LIE RINGSM. B. Smirnov0Belarusian National Technical UniversityThe paper has proved that an associative ring which is solvable of a n- class as a Lie ring has a nilpotent ideal of the nilpotent class not more than 3×10n–2 and a corresponding quotient ring satisfies an identity [[x1, x2, [x3, x4]], x5] = 0.https://sat.bntu.by/jour/article/view/410 |
| spellingShingle | M. B. Smirnov ASSOCIATIVE RINGS SOLVED AS LIE RINGS Наука и техника |
| title | ASSOCIATIVE RINGS SOLVED AS LIE RINGS |
| title_full | ASSOCIATIVE RINGS SOLVED AS LIE RINGS |
| title_fullStr | ASSOCIATIVE RINGS SOLVED AS LIE RINGS |
| title_full_unstemmed | ASSOCIATIVE RINGS SOLVED AS LIE RINGS |
| title_short | ASSOCIATIVE RINGS SOLVED AS LIE RINGS |
| title_sort | associative rings solved as lie rings |
| url | https://sat.bntu.by/jour/article/view/410 |
| work_keys_str_mv | AT mbsmirnov associativeringssolvedaslierings |