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
收藏
页码：369 / 387
页数：19
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