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...
Saved in:
| 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 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Finite $ABA$-groups with Abelian $p$-subgroups $A$ and $B$
by: Sysak , Ya. P., et al.
Published: (1988)
by: Sysak , Ya. P., et al.
Published: (1988)
Leibniz algebras, whose all subalgebras are ideals
by: L. A. Kurdachenko, et al.
Published: (2017)
by: L. A. Kurdachenko, et al.
Published: (2017)
On ascending and subnormal subgroups of infinite factorized groups
by: De, Glovanni F., et al.
Published: (1997)
by: De, Glovanni F., et al.
Published: (1997)
On Leibniz algebras whose subalgebras are either ideals or self-idealizing
by: Kurdachenko, L. A., et al.
Published: (2021)
by: Kurdachenko, L. A., et al.
Published: (2021)
On Leibniz algebras whose subalgebras are either ideals or self-idealizing
by: L. A. Kurdachenko, et al.
Published: (2021)
by: L. A. Kurdachenko, et al.
Published: (2021)
On the structure of Leibniz algebras whose subalgebras are ideals or core-free
by: Chupordia, V. A., et al.
Published: (2020)
by: Chupordia, V. A., et al.
Published: (2020)
On the structure of Leidniz algebras, whose subalgebras are ideals or core-free
by: V. A. Chupordia, et al.
Published: (2020)
by: V. A. Chupordia, et al.
Published: (2020)
On the structure of Leibniz algebras whose subalgebras are ideals or core-free
by: Chupordia, V.A., et al.
Published: (2020)
by: Chupordia, V.A., et al.
Published: (2020)
On the structure of Leidniz algebras, whose subalgebras are ideals or core-free
by: Chupordia, V.A., et al.
Published: (2020)
by: Chupordia, V.A., et al.
Published: (2020)
Local nilpotent groups satisfying a weak condition of minimality or maximality for subgroups of fixed degree of nilpotency
by: Onishchuk , V. A., et al.
Published: (1992)
by: Onishchuk , V. A., et al.
Published: (1992)
On one question of B. Amberg
by: Sysak, Ya. P., et al.
Published: (1994)
by: Sysak, Ya. P., et al.
Published: (1994)
On locally finite groups whose cyclic subgroups are GNA-subgroups
by: Pypka, A.A.
Published: (2017)
by: Pypka, A.A.
Published: (2017)
Радикальные алгебры, подгруппы присоединенных групп которых являются подалгебрами
by: Попович, С.В., et al.
Published: (1997)
by: Попович, С.В., et al.
Published: (1997)
Groups whose lattices of normal subgroups are factorial
by: Rajhi, A.
Published: (2021)
by: Rajhi, A.
Published: (2021)
Groups whose lattices of normal subgroups are factorial
by: Rajhi, A.
Published: (2020)
by: Rajhi, A.
Published: (2020)
On locally finite groups whose cyclic subgroups are \(\mathrm{GNA}\)-subgroups
by: Pypka, Aleksandr A.
Published: (2018)
by: Pypka, Aleksandr A.
Published: (2018)
On some non-periodic groups whose cyclic subgroups are GNA-subgroups
by: Pypka, A A.
Published: (2020)
by: Pypka, A A.
Published: (2020)
Groups whose non-normal subgroups have small commutator subgroup
by: De Falco, M., et al.
Published: (2007)
by: De Falco, M., et al.
Published: (2007)
On the structure of groups, whose subgroups are either normal or core-free
by: L. A. Kurdachenko, et al.
Published: (2019)
by: L. A. Kurdachenko, et al.
Published: (2019)
On the structure of groups, whose subgroups are either normal or core-free
by: Kurdachenko, L.A., et al.
Published: (2019)
by: Kurdachenko, L.A., et al.
Published: (2019)
On the structure of groups whose non-abelia subgroups are serial
by: M. R. Dikson, et al.
Published: (2016)
by: M. R. Dikson, et al.
Published: (2016)
Groups whose all infinite Abelian pd-subgroups are normal
by: Liman , F. N., et al.
Published: (1992)
by: Liman , F. N., et al.
Published: (1992)
Nonperiodic groups whose all expanded $pd$-subgroups are normal
by: Liman , F. N., et al.
Published: (1988)
by: Liman , F. N., et al.
Published: (1988)
On the nonperiodic groups, whose subgroups of infinite special rank are transitively normal
by: L. A. Kurdachenko, et al.
Published: (2020)
by: L. A. Kurdachenko, et al.
Published: (2020)
On groups, whose non-normal subgroups are either contranormal or core-free
by: L. A. Kurdachenko, et al.
Published: (2020)
by: L. A. Kurdachenko, et al.
Published: (2020)
On the nonperiodic groups, whose subgroups of infinite special rank are transitively normal
by: Kurdachenko, L.A., et al.
Published: (2020)
by: Kurdachenko, L.A., et al.
Published: (2020)
On groups, whose non-normal subgroups are either contranormal or core-free
by: Kurdachenko, L.A., et al.
Published: (2020)
by: Kurdachenko, L.A., et al.
Published: (2020)
On groups whose subgroups of infinite special rank are transitively normal
by: Semko, Nicolai N., et al.
Published: (2017)
by: Semko, Nicolai N., et al.
Published: (2017)
On groups whose subgroups of infinite special rank are transitively normal
by: Semko, N.N., et al.
Published: (2017)
by: Semko, N.N., et al.
Published: (2017)
On the non–periodic groups, whose subgroups of infinite special rank are transitively normal
by: Kurdachenko, L. A., et al.
Published: (2020)
by: Kurdachenko, L. A., et al.
Published: (2020)
On the non–periodic groups, whose subgroups of infinite special rank are transitively normal
by: Kurdachenko, L.A., et al.
Published: (2020)
by: Kurdachenko, L.A., et al.
Published: (2020)
On the groups, whose all subgroups with infinite special rank are transitively normal
by: M. M. Semko, et al.
Published: (2017)
by: M. M. Semko, et al.
Published: (2017)
The groups whose cyclic subgroups are either ascendant or almost self-normalizing
by: L. A. Kurdachenko, et al.
Published: (2016)
by: L. A. Kurdachenko, et al.
Published: (2016)
The groups whose cyclic subgroups are either ascendant or almost self-normalizing
by: Kurdachenko, L.A., et al.
Published: (2016)
by: Kurdachenko, L.A., et al.
Published: (2016)
Subalgebras of generalized extended Galileo algebra
by: Barannik , L. F., et al.
Published: (1988)
by: Barannik , L. F., et al.
Published: (1988)
Closed polynomials and saturated subalgebras of polynomial algebras
by: Arzhantsev, I. V., et al.
Published: (2007)
by: Arzhantsev, I. V., et al.
Published: (2007)
About the structure of finite groups, whose all non-Abelian subgroups are subnormal
by: L. A. Kurdachenko, et al.
Published: (2014)
by: L. A. Kurdachenko, et al.
Published: (2014)
Periodic groups, whose cyclic subgroups either are ascendant or almost self-normalized
by: L. A. Kurdachenko, et al.
Published: (2015)
by: L. A. Kurdachenko, et al.
Published: (2015)
On Strongly Inert Subalgebras of an Infinite-Dimensional Lie Algebra
by: Petravchuk, A. P., et al.
Published: (2002)
by: Petravchuk, A. P., et al.
Published: (2002)
On special subalgebras of derivations of Leibniz algebras
by: Shermatova, Z., et al.
Published: (2023)
by: Shermatova, Z., et al.
Published: (2023)
Similar Items
-
Finite $ABA$-groups with Abelian $p$-subgroups $A$ and $B$
by: Sysak , Ya. P., et al.
Published: (1988) -
Leibniz algebras, whose all subalgebras are ideals
by: L. A. Kurdachenko, et al.
Published: (2017) -
On ascending and subnormal subgroups of infinite factorized groups
by: De, Glovanni F., et al.
Published: (1997) -
On Leibniz algebras whose subalgebras are either ideals or self-idealizing
by: Kurdachenko, L. A., et al.
Published: (2021) -
On Leibniz algebras whose subalgebras are either ideals or self-idealizing
by: L. A. Kurdachenko, et al.
Published: (2021)