Hilbert series of algebras associated to direct graphs and order homology

Details Hilbert series of algebras associated to direct graphs and order homology Hilbert series of algebras associated to direct graphs and order homology

2010-10-29

arxiv.org/abs/1010.6295v3

Mathematics

Rings and Algebras

final version, to appear in "Journal of Pure and Apllied Algebra"

Scientific paper

We give a homological interpretation of the coefficients of the Hilbert
series for an algebra associated with a directed graph and its dual algebra.
This allows us to obtain necessary conditions for Koszulity of such algebras in
terms of homological properties of the graphs. We use our results to construct
algebras with a prescribed Hilbert series.

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