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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 6

Higher dimensional algebras as ideal maps

Alper Odabaş
Erdal Ulualan
Pages
1865–1884
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

We also explain this structure for crossed squares of algebras.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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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Key Findings & Data: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 $Bar(S,R)$.
💡
Conclusion & Impact:We also explain this structure for crossed squares of algebras.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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.

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Cite This Article

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

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