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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
We therefore unify the group-theoretical analogy of the completeness property in the sense of the functor $\mathbf{Conj \colon Grp \to Rack} $.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, we prove that the category of rack crossed modules (with a fixed codomain) is finitely complete.
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Temel Bulgular & Veri:In other words, we construct the product, pullback and equalizer objects in the category of crossed modules of racks.
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Sonuç & Katkı:We therefore unify the group-theoretical analogy of the completeness property in the sense of the functor $\mathbf{Conj \colon Grp \to Rack} $.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Crossed module · limit · rack
Abstract
In this paper, we prove that the category of rack crossed modules (with a fixed codomain) is finitely complete. In other words, we construct the product, pullback and equalizer objects in the category of crossed modules of racks. We therefore unify the group-theoretical analogy of the completeness property in the sense of the functor $\mathbf{Conj \colon Grp \to Rack} $.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
Akay, H. G., Akça, İ. İ. (2022). Completeness of the Category of Rack Crossed Modules. Ikonion Journal of Mathematics, Volume: 4 Issue: 2. https://doi.org/10.54286/ikjm.1199290