ON IDEALS OF LATTICE ORDERED MONOIDS

被引：0

作者：

Jasem, Milan ^{[1
]}

机构：

[1] Slovak Tech Univ, Fac Chem & Food Technol, Inst Informat Engn automat & Math, Radlinskeho 9, Bratislava SK-81237, Slovakia

来源：

MATHEMATICA BOHEMICA | 2007年 / 132卷 / 04期

关键词：

lattice ordered monoid; ideal; normal ideal; congruence relation; dually residuated lattice ordered monoid;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper the notion of an ideal of a lattice ordered monoid A is introduced and relations between ideals of A and congruence relations on A are investigated. Further, it is shown that the set of all ideals of a soft lattice ordered monoid or a negatively ordered monoid partially ordered by inclusion is an algebraic Brouwerian lattice.

引用

页码：369 / 387

页数：19

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