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T(x)的极大逆子半群类构成的序列
引用本文:郭子胥. T(x)的极大逆子半群类构成的序列[J]. 青海师范大学学报(自然科学版), 1995, 0(4): 13-18
作者姓名:郭子胥
作者单位:青海师范专科学校
摘    要:
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T(X)中,找出了一个由幂等元半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。

关 键 词:格林等价 逆子半群 幂等元半格同构

THE SEQUENCE CONSISTING OF THE MAXIMAL INVERSE SUBSEMIGROUPS CLASSES WITH ISOMORPHIC SEMILATTICE OF IDEMPOTENTS IN A FULL TRANSFORMATION SEMIGROUP T(X)
Guo Zixu. THE SEQUENCE CONSISTING OF THE MAXIMAL INVERSE SUBSEMIGROUPS CLASSES WITH ISOMORPHIC SEMILATTICE OF IDEMPOTENTS IN A FULL TRANSFORMATION SEMIGROUP T(X)[J]. Journal of Qinghai Normal University(Natural Science Edition), 1995, 0(4): 13-18
Authors:Guo Zixu
Affiliation:Qinghai Junior Teachers College
Abstract:
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.
Keywords:Green's equivalences  inverse subsemigroup  isomorphic semilattice of idempotents
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