提出了强2-好环的概念。一个环R称为强2-好环,如果对于任意a∈R,都有R中可逆元u_1,u_2使得a=u_1+u_2,且u_1u_2=u_2u_1。给出一些强2-好环的例子,讨论它们的环扩张性质。
The concept of 2-good rings is proposed. A ring R is called strongly 2-good if for any a∈R,there exist units u_1,u_2∈R such that a = u_1+ u_2 and u_1u_2= u_2u_1. Some examples of strongly 2-good rings are presented and their ring extensions are investigated.