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A Fibration Application for Crossed Squares

Yıl 2018, Cilt: 39 Sayı: 1, 1 - 6, 16.03.2018
https://doi.org/10.17776/csj.341390

Öz

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.

Kaynakça

  • [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

Yıl 2018, Cilt: 39 Sayı: 1, 1 - 6, 16.03.2018
https://doi.org/10.17776/csj.341390

Öz

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

Kaynakça

  • [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.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Natural Sciences
Yazarlar

Koray Yılmaz

Yayımlanma Tarihi 16 Mart 2018
Gönderilme Tarihi 3 Ekim 2017
Kabul Tarihi 7 Şubat 2018
Yayımlandığı Sayı Yıl 2018Cilt: 39 Sayı: 1

Kaynak Göster

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