Weakly irreducible filter in strong quasi-ordered residuated systems

被引：0
|
作者：
Romano, Daniel A. [1 ]
机构：
[1] Int Math Virtual Inst, Banja Luka, Bosnia & Herceg
来源：
CONTRIBUTIONS TO MATHEMATICS | 2021年 / 4卷
关键词：
quasi-ordered residuated system; strong quasi-ordered residuated system; prime and irreducible filters; weakly irreducible filter;
D O I：
10.47443/cm.2021.0032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, the notion of weakly irreducible filters in strong quasi-ordered residuated systems is introduced and analyzed. It is shown that any weakly irreducible filter is a prime (and therefore, irreducible) filter. It is also proved that if the lattice (A) of all filters in a strong quasi-ordered residuated system ?( is distributive, then any irreducible filter in ?( is weakly irreducible in ?(.
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页码：35 / 40
页数：6
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