半群Q(F,k)的极大正则子半带

Maximal regular subsemibands of Q(F,k)

设T(X)是X上的全变换半群且Y是X的子集,令F(X,Y)={α∈T(X)|Xα■Yα■Y}.当|Y|=n≥4,对2≤k≤n-1,研究了半群F(X,Y)的理想Q(F,k)={α∈F(X,Y)||im(α)|≤k},得到了它的极大正则子半带的完全分类.

Let T（X）be the full transformation semigroup on Xand Yis anonempty subset of X.F（X,Y）={α∈T（X）｜Xα Yα Y}is subsemigroup of T（X）.When｜Y｜=n≥4,acomplete classification of maximal regular subsemiband of Q（F,k）={α∈F（X,Y）｜｜im（α）｜≤k}is obtained,where 2≤k≤n-1.