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Article Dans Une Revue Journal of Algebra and Its Applications Année : 2012

The homology of digraphs as a generalisation of Hochschild homology

Résumé

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.

Dates et versions

hal-03882693 , version 1 (02-12-2022)

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Paul Turner, Emmanuel Wagner. The homology of digraphs as a generalisation of Hochschild homology. Journal of Algebra and Its Applications, 2012, 11 (02), pp.1250031. ⟨10.1142/S0219498811005555⟩. ⟨hal-03882693⟩
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