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A Fibration Application for Crossed Squares

Year 2018, , 1 - 6, 16.03.2018
https://doi.org/10.17776/csj.341390

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.

References

  • [1]. Guin-Walery, D, and Loday J,L, Obstruction a l’excision en K-Theories algebrique, Lecture notes Math, 854 (1981) 179-216.
  • [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]. Ellis, G.J, Crossed modules and higher dimensional analogues, Phd Thesis, Bangor, 1984.
  • [4]. Whitehead, J. H. C. Combinatorial homotopy II, Bull. Amer. Math. Soc., 55 (1949) 453-496.
  • [5]. Porter, T. Homology of commutative algebras and an invariant of simis and vasconcelos, Journal of Algera, 99 (1986) 458-465.
  • [6]. Arvasi, Z., Crossed squares and 2-Crossed modules of commutative algebras, Theory and Applications of Categories, 3-7 (1997) 160-181.
  • [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.

Çaprazlanmış Kareler için Bir Fibrasyon Uygulaması

Year 2018, , 1 - 6, 16.03.2018
https://doi.org/10.17776/csj.341390

Abstract

Bu çalışmada cebirlerin çaprazlanmış karesinin
sol adjoint çifte sahip olduğunu ve bu kategorinin köşeli çaprazlanmış
modellerin kategorisi üzerinden fibre olduğunu gösterdik.

References

  • [1]. Guin-Walery, D, and Loday J,L, Obstruction a l’excision en K-Theories algebrique, Lecture notes Math, 854 (1981) 179-216.
  • [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]. Ellis, G.J, Crossed modules and higher dimensional analogues, Phd Thesis, Bangor, 1984.
  • [4]. Whitehead, J. H. C. Combinatorial homotopy II, Bull. Amer. Math. Soc., 55 (1949) 453-496.
  • [5]. Porter, T. Homology of commutative algebras and an invariant of simis and vasconcelos, Journal of Algera, 99 (1986) 458-465.
  • [6]. Arvasi, Z., Crossed squares and 2-Crossed modules of commutative algebras, Theory and Applications of Categories, 3-7 (1997) 160-181.
  • [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.
There are 7 citations in total.

Details

Primary Language English
Journal Section Natural Sciences
Authors

Koray Yılmaz

Publication Date March 16, 2018
Submission Date October 3, 2017
Acceptance Date February 7, 2018
Published in Issue Year 2018

Cite

APA Yılmaz, K. (2018). A Fibration Application for Crossed Squares. Cumhuriyet Science Journal, 39(1), 1-6. https://doi.org/10.17776/csj.341390