关于完全π-正则J-平凡半群的构造

On the Structure of Completely π-regular J-trivial Semigroups

讨论了完全π-正则J-平凡半群的构造,得到S是完全π-正则J-平凡半群当且仅当S是周期J-平凡半群,当且仅当S是幂零半群的半格,当且仅当S是亚幂零半群.

In this paper,the structure of Completelyπ-regular J-trivial Semigroups is given,and the main result is that S is a completelyπ-regular J-trivial semigroup if and only if S is a periodic J-trivial semigroup if and only if S is a semilattic of nilsemigroups,if and only if S is a quasinilpotent semigroup.