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

页码：323 / 333

页数：11

共 4 条

[1] On semilattice congruences on hypersemigroups and on ordered hypersemigroups
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[2] Congruences on E-Inversive Semigroups
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THAI JOURNAL OF MATHEMATICS, 2011, 9 (02): : 383 - 390
[3] CERTAIN CONGRUENCES ON EVENTUALLY REGULAR SEMIGROUPS I
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[4] Band congruences of t-archimedean ordered semigroups
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ALGEBRA COLLOQUIUM, 2007, 14 (04) : 705 - 712

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