摘要
如果半群S的任意一个元素的若干次幂是正则的 ,并且S的每个正则元有唯一的逆元 ,则称S为π -逆半群 .π -逆半群是广义正则半群 ,它是最接近逆半群的一类非正则半群 .文中给出了π -逆半群的若干等价条件 .
If some power of any element of semigroup S is regular and every regular element of S has unique inverse element, then S is called π-inverse semigroup. π-inverse semigroup is generalized regular semigroup. It is a type of non-regular semigroup which is the closest to inverse semigroup. In this paper, some equivalent conditions of π-inverse semigroup were showed.
出处
《兰州铁道学院学报》
2000年第4期42-44,共3页
Journal of Lanzhou Railway University
关键词
Π-逆半群
等价条件
挠类
单半群
inverse semigroup
equivalent condition
torsion class
simply semigroup
