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Journals / Hacettepe Journal of Mathematics and Statistics / 2012 / Volume: 41 Issue: 6

THE LIFTINGS OF R-MODULES TO COVERING GROUPOIDS

Nazmiye Alemdar
Osman Mucuk
Pages
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Publication Date
2012-06-01
DOI
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AI Summary & Key Takeaways

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

We also prove similar results for a R-module object in the category of groupoids

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we prove that the group structure of a group object in the category of groupoids lifts to a covering groupoid.
📊
Key Findings & Data:In this paper we prove that the group structure of a group object in the category of groupoids lifts to a covering groupoid.
💡
Conclusion & Impact:We also prove similar results for a R-module object in the category of groupoids
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Group-groupoid · Covering groupoid · Topological R-module

Abstract

In this paper we prove that the group structure of a group object in the category of groupoids lifts to a covering groupoid. We also prove similar results for a R-module object in the category of groupoids

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Cite This Article

Alemdar, N., Mucuk, O. (2012). THE LIFTINGS OF R-MODULES TO COVERING GROUPOIDS. Hacettepe Journal of Mathematics and Statistics, Volume: 41 Issue: 6. https://ajindex.com/articles/1403503

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