Weakly Irreducible Filter in Strong Quasi-Ordered Residuated Systems

IF 0.4 4区数学 Q4 MATHEMATICS

Contributions To Discrete Mathematics Pub Date : 2021-12-15 DOI:10.47443/cm.2021.0032

D. Romano

引用次数: 1

Abstract

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 F(A) of all filters in a strong quasi-ordered residuated system A is distributive, then any irreducible filter in A is weakly irreducible in A.

查看原文本刊更多论文

强拟序剩余系统中的弱不可约滤波器

本文引入并分析了强拟有序剩余系统中弱不可约滤波器的概念。证明了任何弱不可约滤波器都是素数(因此是不可约的)滤波器。还证明了如果强拟序剩余系统A中所有滤子的格F(A)是分配的，则A中的任何不可约滤子在A中是弱不可约的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Contributions To Discrete Mathematics MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Contributions to Discrete Mathematics (ISSN 1715-0868) is a refereed e-journal dedicated to publishing significant results in a number of areas of pure and applied mathematics. Based at the University of Calgary, Canada, CDM is free for both readers and authors, edited and published online and will be mirrored at the European Mathematical Information Service and the National Library of Canada.