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On the least property of the semilattice congruences on PO-semigroups

被引：2
|
作者：
Gao, ZL [1 ]
机构：
[1] Yangpu Coll Educ, Shanghai 200093, Peoples R China
来源：
SEMIGROUP FORUM | 1998年 / 56卷 / 03期
关键词：
Complete Solution; Semilattice Congruence;
D O I：
10.1007/PL00005949
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the notion of an ordered semilattice congruence, and introduce the related equivalence relation n on po-semigroups. We study the least property of (ordered) semilattice congruences, and prove: 1. N is the least ordered semilattice congruence on po-semigroups (cf. [1]). 2. n is the least semilattice congruence on po-semigroups. 3. N is not the least semilattice congruence on po-semigroups in general. Thus, Ne give a complete solution to the problem posed by N. Kehayopulu in [1].
引用
收藏
页码：323 / 333
页数：11
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