关于几乎幂零环的一些结果

On Some Results for Almost Nilpotent Rings

自1975年Van Leeuwen和Heyman定义了几乎幂零环以后,有一系列文章讨论由几乎幂零环确定的低根和它的两个子根。在本文中,作者进一步讨论几乎幂零环,并且以另一种方法回答了[1]中的一个公开问题,用该文的结果,也说明[1]中定理3是不成立的。

Since Van Leeuwen and Heyman defined the concept of almost nilpotent ring in 1975, there have been a series of papers discussing the lower radical which is determind by the class of almost nilpotent rings and its two subradicals. In this paper, we further discuss this class of rings and answer an open problen in [1] in another way. We also show that a theorem in [1] does not hold