Complete Regularity and Super-abundance of Some Transformation Semigroups
Jia Zhang · Journal of Southwest University · 2011
Let TM denote the full transformation semigroup on a finite set M,where A is a nonempty subset of M.Define FM={f∈TM|f(A)A}Obviously,FM is a subsemigroup of TM.In this paper,it determines the completely regular elements and super-abundant elements of FM,and describes the complete regularity and super-abundance of FM.