Mescherina E.V., Pikhtilkov S.A.
ON SOME PROPETIES OF LIE ALGEBRAS INNER IDEALS ^{[№ 9 ' 2013]}
The concept of the inner ideal Benkart Georgia was introduced. F. Lopez, E. Garcia, G. Lozano investigated the notion of inner ideal with respect to the Artinian Jordan pairs with. In this paper we study some properties of inner ideals. It is also considered the definition of Artinian in three senses and communication between them. Artinian special Lie algebras was considered earlier by Y.A. Bahturin, S.A. Pikhtilkov, and V.M. Polyakov.