Decompositions of the category of noncommutative sets and Hochschild and cyclic homology

Jolanta Słomińska

Open Mathematics (2003)

  • Volume: 1, Issue: 3, page 327-331
  • ISSN: 2391-5455

Abstract

top
In this note we show that the main results of the paper [PR] can be obtained as consequences of more general results concerning categories whose morphisms can be uniquely presented as compositions of morphisms of their two subcategories with the same objects. First we will prove these general results and then we will apply it to the case of finite noncommutative sets.

How to cite

top

Jolanta Słomińska. "Decompositions of the category of noncommutative sets and Hochschild and cyclic homology." Open Mathematics 1.3 (2003): 327-331. <http://eudml.org/doc/268887>.

@article{JolantaSłomińska2003,
abstract = {In this note we show that the main results of the paper [PR] can be obtained as consequences of more general results concerning categories whose morphisms can be uniquely presented as compositions of morphisms of their two subcategories with the same objects. First we will prove these general results and then we will apply it to the case of finite noncommutative sets.},
author = {Jolanta Słomińska},
journal = {Open Mathematics},
keywords = {16E40; 18A25; 18G30; 19D55},
language = {eng},
number = {3},
pages = {327-331},
title = {Decompositions of the category of noncommutative sets and Hochschild and cyclic homology},
url = {http://eudml.org/doc/268887},
volume = {1},
year = {2003},
}

TY - JOUR
AU - Jolanta Słomińska
TI - Decompositions of the category of noncommutative sets and Hochschild and cyclic homology
JO - Open Mathematics
PY - 2003
VL - 1
IS - 3
SP - 327
EP - 331
AB - In this note we show that the main results of the paper [PR] can be obtained as consequences of more general results concerning categories whose morphisms can be uniquely presented as compositions of morphisms of their two subcategories with the same objects. First we will prove these general results and then we will apply it to the case of finite noncommutative sets.
LA - eng
KW - 16E40; 18A25; 18G30; 19D55
UR - http://eudml.org/doc/268887
ER -

References

top
  1. [1] A. Connes: “Cohomologie cyclique et foncteurs Ext”, C. R. Acad. Sci. Paris, Vol. 296, (1983), pp. 953–958. Zbl0534.18009
  2. [2] Z. Fiedorowicz and J.L. Loday: “Crossed simplicial groups and their associated homology”, Trans. Amer. Math. Soc., Vol. 326, (1991), pp. 57–87. http://dx.doi.org/10.2307/2001855 Zbl0755.18005
  3. [3] J. L. Loday: Cyclic Homology, Springer-Verlag, Berlin, 1992. 
  4. [4] T. Pirashvili and B. Richter: “Hochschild and cyclic homology via functor homology”, K-Theory, Vol. 25, (2002), pp. 39–49. http://dx.doi.org/10.1023/A:1015064621329 Zbl1013.16004
  5. [5] M. Zimmermann: “Changement de base pour les foncteurs Tor”, preprint ArXiv, AT/0303177. 

NotesEmbed ?

top

You must be logged in to post comments.