信阳师范学院学报（自然科学版）1999，Vol.12Issue(3)：249-253,5.
半群TE(X)中的一个同余
A congruence on TE (X)
摘要
Abstract
(fx) denotes the full transfomation semigroup on a set X and Con(S) denotes the complete lattice of all congruences on a senigroup S. For a nontrivial equivalence E on X, let TE(X) = {f∈(fx): (a, b) ∈E, (f( a),f( b ) ∈ E}. As we have seen in [4], TE (X) forms an α-semigroup and Con( TE (X) ) can be decomposed into three disjoint complete sublattices, one of which is [ C(E), Cα (E) ]. In this paper we find out a congruence τ on TE (X) which is contained in [ C ( E ), Cα ( E ) ] and we show that whenever E is a simple equivalence relation, τ is a unique atom of the complete sublattice [ C(E), Cα (E) ] of Con( TE (X) ).关键词
等价关系/α半群/同余/原子Key words
equivalance/α-Semigroup/Congruence/atom分类
数理科学引用本文复制引用
裴惠生,陈丽..半群TE(X)中的一个同余[J].信阳师范学院学报（自然科学版）,1999,12(3):249-253,5.基金项目
Supported by Natural Science Foundation of Henan Province (974051200). （974051200）
