A FRATTINI THEORY FOR LEIBNIZ ALGEBRAS

被引:12
|
作者
Batten, Chelsie [1 ]
Bosko-Dunbar, Lindsey [2 ]
Hedges, Allison [1 ]
Hird, J. T. [1 ,4 ]
Stagg, Kristen [3 ]
Stitzinger, Ernest [1 ]
机构
[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
[2] Spring Hill Coll, Dept Math, Mobile, AL USA
[3] Univ Texas Tyler, Dept Math, Tyler, TX 75799 USA
[4] W Virginia Univ, Inst Technol, Dept Math, Montgomery, WV USA
关键词
Elementary; Frattini; Leibniz; Lie; ELEMENTARY LIE-ALGEBRAS; CARTAN SUBALGEBRAS;
D O I
10.1080/00927872.2011.643844
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A Frattini theory for non-associative algebras was developed in [13] and results for particular classes of algebras have appeared in various articles. Especially plentiful are results on Lie algebras. It is the purpose of this paper to extend some of the Lie algebra results to Leibniz algebras.
引用
收藏
页码:1547 / 1557
页数:11
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