Research Article

Pro-C completions of crossed squares of commutative algebras

Volume: 69 Number: 1 June 30, 2020
EN

Pro-C completions of crossed squares of commutative algebras

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.

Keywords

References

  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).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2020

Submission Date

April 22, 2019

Acceptance Date

October 17, 2019

Published in Issue

Year 2020 Volume: 69 Number: 1

APA
Gülsün Akay, H. (2020). Pro-C completions of crossed squares of commutative algebras. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 69(1), 320-335. https://doi.org/10.31801/cfsuasmas.556898
AMA
1.Gülsün Akay H. Pro-C completions of crossed squares of commutative algebras. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69(1):320-335. doi:10.31801/cfsuasmas.556898
Chicago
Gülsün Akay, Hatice. 2020. “Pro-C Completions of Crossed Squares of Commutative Algebras”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 (1): 320-35. https://doi.org/10.31801/cfsuasmas.556898.
EndNote
Gülsün Akay H (June 1, 2020) Pro-C completions of crossed squares of commutative algebras. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 1 320–335.
IEEE
[1]H. Gülsün Akay, “Pro-C completions of crossed squares of commutative algebras”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 69, no. 1, pp. 320–335, June 2020, doi: 10.31801/cfsuasmas.556898.
ISNAD
Gülsün Akay, Hatice. “Pro-C Completions of Crossed Squares of Commutative Algebras”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69/1 (June 1, 2020): 320-335. https://doi.org/10.31801/cfsuasmas.556898.
JAMA
1.Gülsün Akay H. Pro-C completions of crossed squares of commutative algebras. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69:320–335.
MLA
Gülsün Akay, Hatice. “Pro-C Completions of Crossed Squares of Commutative Algebras”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 69, no. 1, June 2020, pp. 320-35, doi:10.31801/cfsuasmas.556898.
Vancouver
1.Hatice Gülsün Akay. Pro-C completions of crossed squares of commutative algebras. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020 Jun. 1;69(1):320-35. doi:10.31801/cfsuasmas.556898

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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