On the Boolean algebra induced by a unital $$\ell $$ -group

IF 0.6 4区数学 Q3 MATHEMATICS

Algebra Universalis Pub Date : 2024-02-22 DOI:10.1007/s00012-024-00848-6

Soudabeh Karamdoust, Hassan Myrnouri, Mahmood Pourgholamhossein

引用次数: 0

Abstract

The main goal of this paper is the study of the Boolean algebra of all characteristic elements in a unital $\ell $-group and we investigate some topological properties of it in the case that the unital $\ell $-group equipped with a link or positive filter topology. We also introduce the concept of Boolean region as a subset of a unital $\ell $-group.

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论由单元 $$ell $$ - 群诱导的布尔代数

本文的主要目标是研究单值（\ell \）群中所有特征元的布尔代数，并研究在单值（\ell \）群配有链接或正滤波拓扑的情况下它的一些拓扑性质。我们还引入了布尔区域（Boolean region）的概念，它是一个单空（\ell \）群的子集。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebra Universalis 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3 months

期刊介绍： Algebra Universalis publishes papers in universal algebra, lattice theory, and related fields. In a pragmatic way, one could define the areas of interest of the journal as the union of the areas of interest of the members of the Editorial Board. In addition to research papers, we are also interested in publishing high quality survey articles.