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

Open Mathematics (2003)

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

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topJolanta 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] A. Connes: “Cohomologie cyclique et foncteurs Ext”, C. R. Acad. Sci. Paris, Vol. 296, (1983), pp. 953–958. Zbl0534.18009
- [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] J. L. Loday: Cyclic Homology, Springer-Verlag, Berlin, 1992.
- [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] M. Zimmermann: “Changement de base pour les foncteurs Tor”, preprint ArXiv, AT/0303177.

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