Koszul and Gorenstein properties for homogeneous algebras

Details Koszul and Gorenstein properties for homogeneous algebras Koszul and Gorenstein properties for homogeneous algebras

2003-10-06

arxiv.org/abs/math/0310070v2

Mathematics

Quantum Algebra

32 pages, to appear

Scientific paper

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.

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