2017
Том 69
№ 7

All Issues

Radical algebras subgroups of whose adjoint groups are subalgebras

Popovich S. V., Sysak Ya. P.

Full text (.pdf)


Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 12, pp 1855-1861.

Citation Example: Popovich S. V., Sysak Ya. P. Radical algebras subgroups of whose adjoint groups are subalgebras // Ukr. Mat. Zh. - 1997. - 49, № 12. - pp. 1646–1652.

Full text