Zariski topology on the spectrum of fuzzy classical primary submodules

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2022-10-03 DOI:10.4995/agt.2022.17427

P. Panpho, P. Yiarayong

引用次数: 0

Abstract

Let R be a commutative ring with identity and M a unitary R-module. The fuzzy classical primary spectrum F cp.spec(M) is the collection of all fuzzy classical primary submodules A of M, the recent generalization of fuzzy primary ideals and fuzzy classical prime submodules. In this paper, we topologize FM(M) with a topology having the fuzzy primary Zariski topology on the fuzzy classical primary spectrum F cp.spec(M) as a subspace topology, and investigate the properties of this topological space.

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模糊经典主子模谱上的Zariski拓扑

设R是一个恒等交换环，M是一个酉R模。模糊经典原生谱fcp .spec(M)是M的所有模糊经典原生子模A的集合，是模糊原生理想和模糊经典原生子模的最新推广。本文将FM(M)拓扑化为模糊经典主谱fcp .spec(M)上具有模糊初级Zariski拓扑的拓扑作为子空间拓扑，并研究了该拓扑空间的性质。

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

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.