分级理想的Zariski拓扑

Q4 Mathematics

Tatra Mountains Mathematical Publications Pub Date : 2021-10-01 DOI:10.2478/tmmp-2021-0015

M. Bataineh, A. Alshehry, R. Abu-Dawwas

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引用次数: 0

摘要

摘要本文证明了在R的分次素数谱上，分次交换环R的代数性质与Zariski拓扑的开子集的拓扑性质之间存在强关系。我们还利用拓扑性质给出了R中一个分次理想的根的一个刻画。

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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Zariski Topologies on Graded Ideals

Abstract In this paper, we show there are strong relations between the algebraic properties of a graded commutative ring R and topological properties of open subsets of Zariski topology on the graded prime spectrum of R. We examine some algebraic conditions for open subsets of Zariski topology to become quasi-compact, dense, and irreducible. We also present a characterization for the radical of a graded ideal in R by using topological properties.

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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量