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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
We also explain this structure for crossed squares of algebras.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this work, we explain the close relationship between an ideal map structure $S\rightarrow End_{R}(R)$ on a homomorphism of commutative $k$-algebras $R\rightarrow S$ and an ideal simplicial algebra structure on the associated bar construction $Bar(S,R)$.
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Temel Bulgular & Veri:In this work, we explain the close relationship between an ideal map structure $S\rightarrow End_{R}(R)$ on a homomorphism of commutative $k$-algebras $R\rightarrow S$ and an ideal simplicial algebra structure on the associated bar construction $Bar(S,R)$.
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Sonuç & Katkı:We also explain this structure for crossed squares of algebras.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:crossed module · crossed square · ideal map
Abstract
In this work, we explain the close relationship between an ideal map structure $S\rightarrow End_{R}(R)$ on a homomorphism of commutative $k$-algebras $R\rightarrow S$ and an ideal simplicial algebra structure on the associated bar construction $Bar(S,R)$. We also explain this structure for crossed squares of algebras.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
Odabaş, A., Ulualan, E. (2022). Higher dimensional algebras as ideal maps. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 6, 1865–1884. https://ajindex.com/articles/530053