The homology of digraphs as a generalisation of Hochschild homology
- Turner, Paul University of Fribourg and University of Geneva
- Wagner, Emmanuel University of Bourgogne
-
2012
Published in:
- J. Algebra and Its Applications. - 2012, vol. 11, no. 2, p. 1250031(13 pages)
English
J. Przytycki has established a connection between the Hochschild homology of an algebra A and the chromatic graph homology of a polygon graph with coefficients in A. In general the chromatic graph homology is not defined in the case where the coefficient ring is a non-commutative algebra. In this paper we define a new homology theory for directed graphs which takes coefficients in an arbitrary A−A bimodule, for A possibly non-commutative, which on polygons agrees with Hochschild homology through a range of dimensions.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
-
- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
-
- RERO DOC 30924
- DOI 10.1142/S0219498811005555
- Persistent URL
- https://folia.unifr.ch/unifr/documents/302895
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