The structure of some locally maximal idempotent-generated subsemigroups of Sing n
Taijie You · Journal of Guizhou Normal University · 2000
Let Sing n be the semigroup consisting of all singular transformations on the set X n=｛1,2,…,n｝,and E the set of all idempotents of Sing, with defect one,I a subset of E. The generated subsemigroup ?I? is a locally maximal idempotent-generated subsemigroup of Sing n provided that ?I?≠Sing n but ?I∪｛e｝?=Sing n for each e∈E\?I?.The purpose of this paper is to determine the structure of all distinct (up to isomorphism) locally maximal idempotentgenerated subsemigroups of Sing n.