Radical algebras subgroups of whose adjoint groups are subalgebras

• Date: 1997
• Main Authors: Popovich, S. V., Sysak, Ya. P., Попович, С. В., Сысак, Я. П.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5169
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...