原始空间中的低分离公理与Zariski拓扑

IF 0.8 Q2 MATHEMATICS

Afrika Matematika Pub Date : 2026-08-21 DOI:10.1007/s13370-026-01507-w

Angel Guale, Jorge Vielma, Edgar Sanchez

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引用次数: 0

摘要

本文给出了在生成拓扑的函数中满足\(T_0\)和\(T_1\)之间的分离公理的原始空间的刻画，并建立了在这种情况下哪些公理是等价的。我们还给出了素数谱为原空间的环的一个表征，其素数谱具有Zariski拓扑。

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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Low separation axioms in primal spaces and the Zariski Topology

In this paper, we give characterizations of the primal spaces that satisfy some separation axioms between \(T_0\) and \(T_1\) in terms of the function that generates the topology, and we establish which axioms are equivalent in this context. We also give a characterization of the rings whose prime spectrum, endowed with the Zariski topology, is a primal space.

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来源期刊

Afrika Matematika MATHEMATICS-

CiteScore

2.00

自引率

9.10%

发文量