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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 69 Issue: 1

Pro-C completions of crossed squares of commutative algebras

Hatice Gülsün Akay(ESKISEHIR OSMANGAZI UNIVERSITY)0000-0001-7983-6852
Pages
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Publication Date
2020-06-30
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AI Summary & Key Takeaways

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

Afterwards, we study some functorial properties of this pro-C completion process.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we give the explicit construction of a pro-C completion functor which is defined in the category of crossed squares of commutative algebras.
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Key Findings & Data:In this paper we give the explicit construction of a pro-C completion functor which is defined in the category of crossed squares of commutative algebras.
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Conclusion & Impact:Afterwards, we study some functorial properties of this pro-C completion process.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Crossed square · pro-C crossed square · pro-C completion

Abstract

In this paper we give the explicit construction of a pro-C completion functor which is defined in the category of crossed squares of commutative algebras. Afterwards, we study some functorial properties of this pro-C completion process.

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Cite This Article

Akay, H. G. (2020). Pro-C completions of crossed squares of commutative algebras. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 69 Issue: 1. https://doi.org/10.31801/cfsuasmas.556898

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References (10)

  1. Arvasi, Z., Crossed squares and 2-crossed modules of commutative algebras, Theory and Applications of Categories, 3(7), (1997), 160--181.
  2. Arvasi, Z. and Ege, U., Annihilators, multipliers and crossed modules, Applied Categorical Structures, 11, (2003), 487--506.
  3. Aytekin, A. and Koçak, M., Pro-C completions process of crossed squares and some relations, World Applied Sciences Journal, 7 (7), (2009), 856--865.
  4. Ellis, G.J., Higher dimensional crossed modules of algebras, J. Pure and Appl. Algebra, 52, (1988), 277--282.
  5. Ellis, G.J., Crossed modules and their higher dimensional analogues, University of Wales, Ph.D. Thesis, (1984).
  6. Koçak, M., Pro-C completions of crossed modules of commutative algebras, Algebras, Groups and Geometries, Vol 22(2), (2005).
  7. Kokers, K.J. and Porter, T., Pro-C completions of crossed modules, Proceedings of the Edinburgh Mathematical Society, 33-1 (1990), 39--51.
  8. Porter, T., Homology of commutative algebras and an invariant of Simis and Vasconceles, J.Algebra, 99, 2, (1987).
  9. Ribes, L. and Zalesskii, P., Profinite groups, Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge, Springer-Verlag, Berlin, (2000).
  10. Whitehead, J.H.C., Combinatorial homotopy II., Bull. Amer. Math. Soc., 55, (1949), 213--245.