Research Article
Year 2018,
, 1 - 6, 16.03.2018
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.
Year 2018,
, 1 - 6, 16.03.2018
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 | |
| Publication Date | March 16, 2018 |
| Submission Date | October 3, 2017 |
| Acceptance Date | February 7, 2018 |
| Published in Issue | Year 2018 |