GV-逆半群S的子半群〈E(S)〉

Subsemigroup〈E(S)〉of a GV-inverse Semigroup

半群S的幂等元集E(S)生成的子半群〈E(S)〉在半群同余的刻画中占有极其重要的地位。当S为GV-逆半群时,利用归纳法,证明了,对于任意t∈〈E(S)〉都有,r(t)∈E(S),〈E(S)〉为S的π-正则子半群,因此也是GV-逆半群。

The subgroup （E（S）） generated by the set role in the study of the congruence on S. When S is of idempotents of a semigroup S plays an important a C-V-inverse Semigroup, it is proved that r（t）∈E（S） ,for any t∈ （E（S））, 〈E（S） ） is a π- regular semigroup and GV-inverse Semigroup.