一类(n,m)-半群

A Class of (n,m)-Semigroups

给出了正则(n,m)-半群,逆(n,m)-半群,纯正(n,m)-半群的定义,并讨论了其基本性质,建立了(n,n-1)-半群上的Green定理,分别给出了(n,n-1)-半群是逆(n,n-1)-半群,纯正(n,n-1)-半群的充分必要条件.

The notion of regular （ n, m） -semigroups, inverse （ n, m） -semigroups and orthodox （ n, m） -semigroups are defined. Some basic properties of them are discussed. The Green＇s theorem for （n,n- 1 ）-semigroups is proposed. Some sufficient and necessary conditions are given for a （ n, n - 1 ） -semigroup to be a inverse （ n, n - 1 ） - semigroup and a orthodox （ n, n - 1 ） -semigroup respectively.