Ideals in quasi-ordered residuated system

被引：2
|
作者：
Romano, Daniel A. [1 ]
机构：
[1] Int Math Virtual Inst, Kordunaska St 6, Banja Luka 78000, Bosnia & Herceg
来源：
CONTRIBUTIONS TO MATHEMATICS | 2021年 / 3卷
关键词：
relational system; residuated system; quasi-ordered residuated system; ideals in quasi-ordered residuated system;
D O I：
10.47443/cm.2021.0025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The concept of quasi-ordered residuated system was defined in 2018 by Bonzio and Chajda. The present author defined the notion of filters in quasi-ordered residuated system and described several different classes of filters in such systems. In this paper, the concept of pre-ideals and ideals in a residuated relational system ordered under a quasi-order are introduced and analyzed. Some important features of these classes of substructures in such relational systems are also shown. In addition, a congruence relation based on the concept of pre-ideal is constructed.
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页码：68 / 76
页数：9
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