Koszul and Gorenstein properties for homogeneous algebras

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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 Poincare duality between Hochschild homology and cohomology of A, as for N=2.
32 pages, to appear

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Quantum Algebra, Rings and Algebras, 16S37; 16S38; 16E40; 16E65

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http://salesiana.dossiersoluciones.com/handle/123456789/68753

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310070
 http://arxiv.org/abs/math/0310070

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arXiv