| Autor: |
Salam, Saif, Al-Zoubi, Khaldoun |
| Rok vydání: |
2021 |
| Předmět: |
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| Zdroj: |
Applied General Topology,2022 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.4995/agt.2022.16332 |
| Popis: |
Let $R$ be a $G$-graded ring and M be a $G$-graded $R$-module. We define the graded primary spectrum of $M$, denoted by $\mathcal{PS}_G(M)$, to be the set of all graded primary submodules $Q$ of M such that $(Gr_M(Q):_R M)=Gr((Q:_R M))$. In this paper, we define a topology on $\mathcal{PS}_G(M)$ having the Zariski topology on the graded prime spectrum $Spec_G(M)$ as a subspace topology, and investigate several topological properties of this topological space. |
| Databáze: |
arXiv |
| Externí odkaz: |
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