Koszul and Gorenstein properties for homogeneous algebras
量子代数
2007-05-23 v2 环与代数
摘要
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.
引用
@article{arxiv.math/0310070,
title = {Koszul and Gorenstein properties for homogeneous algebras},
author = {Roland Berger and Nicolas Marconnet},
journal= {arXiv preprint arXiv:math/0310070},
year = {2007}
}
备注
32 pages, to appear