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

共 50 条

[21] Duality for Koszul homology over Gorenstein rings
Claudia Miller
Hamidreza Rahmati
Janet Striuli
Mathematische Zeitschrift, 2014, 276 : 329 - 343
[22] QUADRATIC GORENSTEIN RINGS AND THE KOSZUL PROPERTY I
Mastroeni, Matthew
Schenck, Hal
Stillman, Mike
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 374 (02) : 1077 - 1093
[23] Duality for Koszul homology over Gorenstein rings
Miller, Claudia
Rahmati, Hamidreza
Striuli, Janet
MATHEMATISCHE ZEITSCHRIFT, 2014, 276 (1-2) : 329 - 343
[24] Universally Koszul algebras
Aldo Conca
Mathematische Annalen, 2000, 317 : 329 - 346
[25] KOSZUL ALGEBRAS OF INVARIANTS
GAILLARD, PY
JOURNAL OF ALGEBRA, 1992, 146 (01) : 85 - 95
[26] Koszul Lie Algebras
Weigel, Thomas
LIE ALGEBRAS AND RELATED TOPICS, 2015, 652 : 241 - 242
[27] Koszul Algebras and Their Syzygies
Conca, Aldo
COMBINATORIAL ALGEBRAIC GEOMETRY, 2014, 2108 : 1 - 31
[28] Strongly Koszul algebras
Herzog, J
Hibi, T
Restuccia, G
MATHEMATICA SCANDINAVICA, 2000, 86 (02) : 161 - 178
[29] KOSZUL HOMOLOGY OF CODIMENSION 3 GORENSTEIN IDEALS
Sam, Steven V.
Weyman, Jerzy
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142 (02) : 401 - 408
[30] Yoneda algebras of almost Koszul algebras
Zheng Lijing
Proceedings - Mathematical Sciences, 2015, 125 : 477 - 485

← 1 2 3 4 5 →