THE HOMOLOGY OF DIGRAPHS AS A GENERALIZATION OF HOCHSCHILD HOMOLOGY
- TURNER, PAUL Département de Mathématiques, Université de Fribourg, CH-1700 Fribourg, Switzerland and Section de Mathématiques, Université de Genève, 1211, Switzerland
- WAGNER, EMMANUEL Institut de Mathématiques de Bourgogne, Université de Bourgogne, UMR 5584 du CNRS, BP47870, 21078 Dijon Cedex, France
- 2012-5-5
Published in:
- Journal of Algebra and Its Applications. - World Scientific Pub Co Pte Lt. - 2012, vol. 11, no. 02, p. 1250031
English
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.
- Language
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- English
- Open access status
- green
- Identifiers
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- DOI 10.1142/s0219498811005555
- ISSN 0219-4988
- Persistent URL
- https://sonar.ch/global/documents/140635
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