Koszul and Gorenstein properties for homogeneous algebras
نویسنده
چکیده
Koszul property was generalized to homogeneous algebras of degree N > 2 in [5], and related to N -complexes in [7]. 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 [23] to A, i.e., there is a Poincaré duality between Hochschild homology and cohomology of A, as for N = 2. Mathematical Subject Classifications (2000). 16S37, 16S38, 16E40, 16E65.
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