The Number of Idempotent Elements in Symmetric Semigroup Tn

Abstract

The main purpose of this paper to find the number of the idempotent elements in sym Tn Semigroup . The problem of finding the number of idempotent elements in the symmetric semigroup is solved by using the partitions of an N-set ;we have found that : Such that P(b1, … ,bn) is the number of partition for a given partition and by parts we mean the parts for the given partition .Some other results concerning Un have been established .