Koszul and Gorenstein properties for homogeneous algebras

被引：45
|
作者：
Berger, Roland [1 ]
Marconnet, Nicolas [1 ]
机构：
[1] LARAL, Fac Sci & Tech, F-42023 St Etienne, France
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2006年 / 9卷 / 01期
关键词：
Koszul algebras; Gorenstein algebras; N-complexes; Hochschild (co) homology;
D O I：
10.1007/s10468-005-9002-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Koszul property was generalized to homogeneous algebras of degree N > 2 in [ 5], and related to N-complexes. 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 to A, i.e., there is a Poincare duality between Hochschild homology and cohomology of A, as for N = 2.
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页码：67 / 97
页数：31
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