代数的诣零、(局部)幂零性

On Nil(Local) Nilpont Properies of an Algebra

本文所讨论的域上代数均指任意域上结合代数.我们的主要结果如下:一、给出了域上代数为诣零代数的充要条件.二、给出了域上诣零代数为局部幂零代数的充要条件．三、给出了域上诣零代数为幂零代数的充要条件.

In this paper, we get some neccessary and sufficient conditions on which an algebra is a nil algebra, a nil algebra is a local nilpotent algebra and a nil algebra is a nilpotent algebra.