Radical algebras subgroups of whose adjoint groups are subalgebras
We obtain the characteristic for radical algebras subgroups of whose adjoint groups are subalgebras. In particular, we prove that the algebras of this sort are nilpotent with nilpotent length at most three. We give the complete classification of those algebras under consideration which are generated...
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| Datum: | 1997 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1997
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5169 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511373101891584 |
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| author | Popovich, S. V. Sysak, Ya. P. Попович, С. В. Сысак, Я. П. Попович, С. В. Сысак, Я. П. |
| author_facet | Popovich, S. V. Sysak, Ya. P. Попович, С. В. Сысак, Я. П. Попович, С. В. Сысак, Я. П. |
| author_sort | Popovich, S. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:26:15Z |
| description | We obtain the characteristic for radical algebras subgroups of whose adjoint groups are subalgebras. In particular, we prove that the algebras of this sort are nilpotent with nilpotent length at most three. We give the complete classification of those algebras under consideration which are generated by two elements. |
| first_indexed | 2026-03-24T03:11:51Z |
| format | Article |
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| id | umjimathkievua-article-5169 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:11:51Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/5d/acda631225dfee2e80476c73c3df3e5d.pdf |
| spelling | umjimathkievua-article-51692020-03-18T21:26:15Z Radical algebras subgroups of whose adjoint groups are subalgebras Радикальные алгебры, подгруппы присоединенных групп которых являются подалгебрами Popovich, S. V. Sysak, Ya. P. Попович, С. В. Сысак, Я. П. Попович, С. В. Сысак, Я. П. We obtain the characteristic for radical algebras subgroups of whose adjoint groups are subalgebras. In particular, we prove that the algebras of this sort are nilpotent with nilpotent length at most three. We give the complete classification of those algebras under consideration which are generated by two elements. Отримана характеризація радикальних алгебр, підгрупи приєднаних груп яких є підалгебрами. Доведено, зокрема, що такі алгебри нільпотентиі з індексом нільпотентності, який не перевищує 3. Дана повна класифікація тих із них, що породжені двома елементами. Institute of Mathematics, NAS of Ukraine 1997-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5169 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 12 (1997); 1646–1652 Український математичний журнал; Том 49 № 12 (1997); 1646–1652 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5169/7034 https://umj.imath.kiev.ua/index.php/umj/article/view/5169/7035 Copyright (c) 1997 Popovich S. V.; Sysak Ya. P. |
| spellingShingle | Popovich, S. V. Sysak, Ya. P. Попович, С. В. Сысак, Я. П. Попович, С. В. Сысак, Я. П. Radical algebras subgroups of whose adjoint groups are subalgebras |
| title | Radical algebras subgroups of whose adjoint groups are subalgebras |
| title_alt | Радикальные алгебры, подгруппы присоединенных групп
которых являются подалгебрами |
| title_full | Radical algebras subgroups of whose adjoint groups are subalgebras |
| title_fullStr | Radical algebras subgroups of whose adjoint groups are subalgebras |
| title_full_unstemmed | Radical algebras subgroups of whose adjoint groups are subalgebras |
| title_short | Radical algebras subgroups of whose adjoint groups are subalgebras |
| title_sort | radical algebras subgroups of whose adjoint groups are subalgebras |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5169 |
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