The Zariski topology on the graded second spectrum of a graded module

Let R be a G-graded ring and M be a G-graded R-module. The graded second spectrum of M, denoted by Specs G(M), is the set of all graded second submodules of M. In this paper, we define a topology on Specs G(M) which is analogous to that for SpecG(R), and investigate several topological properties of this topology.

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Publication Details

Published
2024-11-06
DOI
https://doi.org/10.54216/ijns.250324
Primary Topic
Rings, Modules, and Algebras
Type
article
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article

The Zariski topology on the graded second spectrum of a graded module

Khaldoun Al-Zoubi, Khaldoun Khaldoun
Rings, Modules, and Algebras
article

The Zariski topology on the graded second spectrum of a graded module

Khaldoun Al-Zoubi, Khaldoun Khaldoun
article en

Abstract

Let R be a G-graded ring and M be a G-graded R-module. The graded second spectrum of M, denoted by Specs G(M), is the set of all graded second submodules of M. In this paper, we define a topology on Specs G(M) which is analogous to that for SpecG(R), and investigate several topological properties of this topology.

Vol. 25(3)
Openalex Percentile: Top 64%
Rings, Modules, and Algebras
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The Zariski topology on the graded second spectrum of a graded module — Khaldoun Al-Zoubi, Khaldoun Khaldoun · (2024) | TGRS Research Map | TGRS