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.

引用

页码：67 / 97

页数：31

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[2]

[Anonymous], 1956, HOMOLOGICAL ALGEBRA

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