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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Volume: 49 Issue: 6

Higher dimensional algebras as ideal maps

Alper Odabas(ESKISEHIR OSMANGAZI UNIVERSITY, FACULTY OF SCIENCE AND LETTERS)0000-0002-4361-3056
Erdal Ulualan(DUMLUPINAR UNIVERSITY)0000-0002-4823-8267
Pages
—
Publication Date
2020-12-08
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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

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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 $Bar(S,R)$.
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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

Odabas, A., Ulualan, E. (2020). Higher dimensional algebras as ideal maps. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 6. https://doi.org/10.15672/hujms.575080

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