On the Nilpotence of Malcev Algebras  

作　　者：张知学 冯建强 

机构地区：[1]Institute of Mathematics and Computers Hebei University, Baoding, 071002

出　　处：《Northeastern Mathematical Journal》2005年第1期81-86,共6页东北数学（英文版）

基　　金：The NSF (199100) of Hebei Province.

摘　　要：We investigate the nilpotence of a Malcev algebra M and of its standard enveloping Lie algebra L(M) = M(?)D(M, M). The main result shows that an ideal A of M is nilpotent in M if and only if the corresponding ideal I(A) = A(?)D(A, M) is nilpotent in L(M).We investigate the nilpotence of a Malcev algebra M and of its standard enveloping Lie algebra L(M) = M(?)D(M, M). The main result shows that an ideal A of M is nilpotent in M if and only if the corresponding ideal I(A) = A(?)D(A, M) is nilpotent in L(M).

关 键 词：Malcev algebra enveloping Lie algebra NILPOTENCE 

分 类 号：O152.5[理学—数学]