The Fuzzy Prime Spectrum of Partially Ordered Sets

IF 1 Q1 MATHEMATICS

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2023-12-15 DOI:10.1155/2023/4526348

Derso Abeje Engidaw, Gezahagne Mulat Addis, Wondwosen Zemene Norahun, Dereje Kifle Boku, Habtu Bayafers Demrew, T. Degefa

引用次数: 0

Abstract

We study the space of prime fuzzy ideals (and the space of maximal fuzzy ideals as a subspace) equipped with the hull-kernel topology in partially ordered sets. Mainly, we investigate the conditions for which the fuzzy prime spectrum of a poset is compact, Hausdorff, and normal, respectively.

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部分有序集合的模糊质谱

我们研究了部分有序集合中带有赫尔核拓扑的素模糊理想空间（以及作为子空间的最大模糊理想空间）。我们主要研究了正集的模糊素谱分别是紧凑的、豪斯多夫的和正态的条件。

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

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Mathematics-Mathematics (miscellaneous)

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

17 weeks

期刊介绍： The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.