Nilpotency criteria for multiplicative Lie algebras

被引:15
作者
Point, F
Wantiez, P
机构
[1] Inst. de Mathematique et d'Inform., Université de Mons-Hainaut, 7000 Mons, Avenue Maistriau
关键词
D O I
10.1016/0022-4049(95)00115-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A multiplicative Lie algebra is a (possibly nonabelian) group with an extra binary function which satisfies a non-commutative version of the usual axioms of the Lie bracket. We define nilpotency with respect to this function and we prove several nilpotency criteria which extend known results about groups and Lie algebras.
引用
收藏
页码:229 / 243
页数:15
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