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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2020 / Cilt: 69 - Sayı: 1

Pro-C completions of crossed squares of commutative algebras

Hatice GÜLSÜN AKAY
Sayfa
320–335
Yayın Tarihi
2020-06-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Afterwards, we study some functorial properties of this pro-C completion process.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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, Cilt: 69 - Sayı: 1, 320–335. https://ajindex.com/articles/746835

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Kaynakça (5)

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