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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Then we introduce the Peiffer ideal of a precrossed module and use it to construct the free crossed module.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, first, we construct the free modules and precrossed modules of $R$-algebroids.
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Key Findings & Data:In this paper, first, we construct the free modules and precrossed modules of $R$-algebroids.
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Conclusion & Impact:Then we introduce the Peiffer ideal of a precrossed module and use it to construct the free crossed module.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:R-category · R-algebroid · crossed modules
Abstract
In this paper, first, we construct the free modules and precrossed modules of $R$-algebroids. Then we introduce the Peiffer ideal of a precrossed module and use it to construct the free crossed module.
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Cite This Article
AVCIOĞLU, O., AKÇA, İ. İ. (2018). Free modules and crossed modules of $R$-algebroids. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 6, 2863–2875. https://ajindex.com/articles/220587