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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We also give the left adjoint construction.
📌 3 Key Takeaways
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Objective & Hypothesis:In [1] we define the pullback $Cat^1$-groups and showed that the category of pullback $Cat^1$-groups is equivalent to the category of pullback crossed modules.
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Key Findings & Data:In this paper we proved that the pullback $Cat^1$-group has a left adjoint which is the induced $Cat^1$-group.
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Conclusion & Impact:We also give the left adjoint construction.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In [1] we define the pullback $Cat^1$-groups and showed that the category of pullback $Cat^1$-groups is equivalent to the category of pullback crossed modules. In this paper we proved that the pullback $Cat^1$-group has a left adjoint which is the induced $Cat^1$-group. We also give the left adjoint construction.
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Cite This Article
ALP, M. (2022). Left adjoint of pullback $Cat^1$-groups. Turkish Journal of Mathematics, Cilt: 23 - Sayı: 2, 243–249. https://ajindex.com/articles/608969