T（X）的极大逆子半群类构成的序列

THE SEQUENCE CONSISTING OF THE MAXIMAL INVERSE SUBSEMIGROUPS CLASSES WITH ISOMORPHIC SEMILATTICE OF IDEMPOTENTS IN A FULL TRANSFORMATION SEMIGROUP T(X)

本文从逆子半群的幂等元半格出发，在有限集Ｘ的全变换半群（Ｘ）中，找出了一个由幂等元格同构的极大逆子半群类构成的序列．细致地刻划出每个同构类中幂等元半格的结构．并给出了每个同构类中含有的极大逆子半群的个数公式。

In this paper,we have found a sequence consisting of the maximal inverse subsemigroups classes with isomorphic semilattice of idempotents in a fulltransformation semigroup T(X).At the same time,we have explained in greater detail the structure of the semilattice of idempotents in every maximal inverse subsemigroup class,and have given a formula with regard tO the number of the maximal inverse subsemigroups in the sequence.