TOWERS OF DERIVATION FOR LIE RINGS AND SOME RESULTS ON COMPLETE LIE RINGS

被引：0
|
作者：
Liao Jun [1 ]
Zheng Dabin [1 ]
Liu Heguo [1 ]
机构：
[1] Hubei Univ, Fac Math & Comp Sci, Wuhan 430062, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2010年 / 30卷 / 05期
关键词：
Lie rings; derivation towers; complete Lie rings; ALGEBRAS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The well-known tower theorem of groups (resp. Lie algebras) shows that the tower of automorphism groups (resp. derivation algebras) of a finite group (resp. a finite dimensional Lie algebra) with trivial center terminates after finitely many steps. We generalize these results for Lie rings, and present some necessary and sufficient conditions for Lie rings to be complete.
引用
收藏
页码：1769 / 1775
页数：7
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