(34). A radical for graded Lie algebras.

Autores: D. Ceretto, E. García y M. Gómez Lozano 

Revista: Acta Math. Hungar., 136 (1–2) (2012), 16–29      (JCR: 248 de 296 Factor de impacto: 0.348)

Abstract: Let $G$ be an arbitrary group. We prove that a $G$-graded Lie algebra $L$ over a field of characteristic zero is nondegenerate if and only if it is graded-nondegenerate. As an important tool for our proof we show that the graded Kostrikin ideal of a $G$-graded Lie algebra $L$ over a a field of characteristic zero is the intersection of all strongly prime $G$-graded ideals of $L$. In particular, graded-nondegenerate Lie algebras are a subdirect products of graded-strongly prime Lie algebras.