Koszul and Gorenstein properties for homogeneous algebras

dc.creatorBerger, Roland
dc.creatorMarconnet, Nicolas
dc.date2003-10-06
dc.date2004-05-13
dc.date.accessioned2026-07-07T05:01:39Z
dc.date.available2026-07-07T05:01:39Z
dc.descriptionKoszul 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.
dc.description32 pages, to appear
dc.identifierhttps://arxiv.org/abs/math/0310070
dc.identifierhttp://arxiv.org/abs/math/0310070
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68753
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16S37; 16S38; 16E40; 16E65
dc.titleKoszul and Gorenstein properties for homogeneous algebras
dc.typetext

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