关键词: 马尔策夫代数, 幂零理想, 幂零根, 标准构造

Abstract: The concept of nilpotent ideals of Malcev algebras,which is a generalization of the concept of nilpotent ideals of Lie algebras,is defined,the existence of a nil radical is proven,and the relationship between the nilpotent ideals of Malcev algebras and that of its standard construction is examined.

Key words: malcev algebras, nilpotent ideals, nil radical, standard construction