Proper spaces are spectral

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2022-03-17 DOI:10.4995/agt.2023.17800

A. Goswami

引用次数: 4

Abstract

Since Hochster's work, spectral spaces have attracted increasing interest. Through this note we give a new self-contained and constructible topology-independent proof of the fact that the set of proper ideals of a ring endowed with coarse lower topology is a spectral space.

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固有空间是谱的

自从Hochster的工作以来，光谱空间吸引了越来越多的兴趣。本文给出了具有粗糙下拓扑的环的固有理想集是谱空间的一个新的自包含的、可构造的拓扑无关的证明。

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.