Leibniz algebras whose solvable ideal is the maximal extension of the nilradical
Kobiljon AbdurasulovV.I. Romanovskiy Institute of Mathematics , Uzbekistan Academy of Sciences , University street , 9 , Tashkent , 100174 , UzbekistanZarina ShermatovaV.I. Romanovskiy Institute of Mathematics , Uzbekistan Academy of Sciences , University street , 9 , Tashkent , 100174 , Uzbekistan
2022en
ABI
Annotatsiya
The paper is devoted to the so-called complete Leibniz algebras. It is known that a Lie algebra with a complete ideal is split. We will prove that this result is valid for Leibniz algebras whose complete ideal is a solvable algebra such that the codimension of nilradical is equal to the number of generators of the nilradical.
Hali tarjima qilinmagan
Identifikatorlar
Iqtiboslar va manbalar
0 ta iqtibos0 ta foydalanilgan manba