Research Article

A Fibration Application for Crossed Squares

Volume: 39 Number: 1 March 16, 2018
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A Fibration Application for Crossed Squares

Abstract

In this work we showed that the category of crossed squares of algebras has a left adjoint pair, and this category is fibred over the category of cornered crossed modules.

Keywords

References

  1. [1]. Guin-Walery, D, and Loday J,L, Obstruction a l’excision en K-Theories algebrique, Lecture notes Math, 854 (1981) 179-216.
  2. [2]. Arvasi, Z. Ulualan, E, Homotopical aspects of commutative algebras I freeness conditions for crossed squares, Journal of Homotopy and Related Structures, 10 (2015) 495-518.
  3. [3]. Ellis, G.J, Crossed modules and higher dimensional analogues, Phd Thesis, Bangor, 1984.
  4. [4]. Whitehead, J. H. C. Combinatorial homotopy II, Bull. Amer. Math. Soc., 55 (1949) 453-496.
  5. [5]. Porter, T. Homology of commutative algebras and an invariant of simis and vasconcelos, Journal of Algera, 99 (1986) 458-465.
  6. [6]. Arvasi, Z., Crossed squares and 2-Crossed modules of commutative algebras, Theory and Applications of Categories, 3-7 (1997) 160-181.
  7. [7]. Brown, R. Sivera. R. , Algeabraic colimit calculations in homotopy theory using fibred and cofibred categories, Theory and Application of Categories, 22 (2009) 222-251.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

March 16, 2018

Submission Date

October 3, 2017

Acceptance Date

February 7, 2018

Published in Issue

Year 2018 Volume: 39 Number: 1

APA
Yılmaz, K. (2018). A Fibration Application for Crossed Squares. Cumhuriyet Science Journal, 39(1), 1-6. https://doi.org/10.17776/csj.341390
AMA
1.Yılmaz K. A Fibration Application for Crossed Squares. CSJ. 2018;39(1):1-6. doi:10.17776/csj.341390
Chicago
Yılmaz, Koray. 2018. “A Fibration Application for Crossed Squares”. Cumhuriyet Science Journal 39 (1): 1-6. https://doi.org/10.17776/csj.341390.
EndNote
Yılmaz K (March 1, 2018) A Fibration Application for Crossed Squares. Cumhuriyet Science Journal 39 1 1–6.
IEEE
[1]K. Yılmaz, “A Fibration Application for Crossed Squares”, CSJ, vol. 39, no. 1, pp. 1–6, Mar. 2018, doi: 10.17776/csj.341390.
ISNAD
Yılmaz, Koray. “A Fibration Application for Crossed Squares”. Cumhuriyet Science Journal 39/1 (March 1, 2018): 1-6. https://doi.org/10.17776/csj.341390.
JAMA
1.Yılmaz K. A Fibration Application for Crossed Squares. CSJ. 2018;39:1–6.
MLA
Yılmaz, Koray. “A Fibration Application for Crossed Squares”. Cumhuriyet Science Journal, vol. 39, no. 1, Mar. 2018, pp. 1-6, doi:10.17776/csj.341390.
Vancouver
1.Koray Yılmaz. A Fibration Application for Crossed Squares. CSJ. 2018 Mar. 1;39(1):1-6. doi:10.17776/csj.341390

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