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Journals / Sakarya University Journal of Science / 2019 / Cilt: 23 Sayı: 3

Dual Zariski Topology on Comultiplication Modules

Ortaç ÖNEŞ
Pages
390–395
Publication Date
2019-06-01
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We prove that XsN is an Artinian topological space if and only if M satisfies the SN-condition.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper deals with dual Zariski topology on comultiplication modules.
📊
Key Findings & Data:We define a subspace topology of dual Zariski topology on comultiplication modules and study some properties of this subspace topology.
💡
Conclusion & Impact:We prove that XsN is an Artinian topological space if and only if M satisfies the SN-condition.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Comultiplication Modules · Dual Zariski Topology · Second Module

Abstract

This paper deals with dual Zariski topology on comultiplication modules. We define a subspace topology of dual Zariski topology on comultiplication modules and study some properties of this subspace topology. We prove that XsN is an Artinian topological space if and only if M satisfies the SN-condition.

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Cite This Article

ÖNEŞ, O. (2019). Dual Zariski Topology on Comultiplication Modules. Sakarya University Journal of Science, Cilt: 23 Sayı: 3, 390–395. https://ajindex.com/articles/942032

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References (1)

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