Koszul and Gorenstein Properties for Homogeneous Algebras
by Berger, Roland; Marconnet, Nicolas
The Koszul property was generalized to homogeneous algebras of degree $$N>2$$ in [5], and related to $$N$$-complexes. We show that if the $$N$$-homogeneous algebra $$A$$ is generalized Koszul, AS-Gorenstein and of finite global dimension, then one can apply the Van den Bergh duality theorem to $$A$$ i.e., there is a Poincaré duality between Hochschild homology and cohomology of $$A$$ as for $$N = 2$$.
DOI: 10.1007/s10468-005-9002-1
Online Date: 4/8/2006
Print publication date: 2/1/2006
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