ON THE REGULARITY AND KOSZULNESS OF MODULES OVER LOCAL RINGS

被引：0
|
作者：
Maleki, Rasoul Ahangari [1 ,2 ]
机构：
[1] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran
[2] Kharazmi Univ, Fac Math Sci & Comp, Tehran 15618, Iran
来源：
COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 08期
关键词：
Koszul algebra; Koszul module; Linear resolution; Poincare series; Regularity; 13D02; 13D07; 16W50; 16S37; PROPERTY;
D O I：
10.1080/00927872.2013.785295
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Koszul modules over Noetherian local rings R were introduced by Herzog and Iyengar and they possess good homological properties, for instance their Poincare series is rational. It is an interesting problem to characterize classes of Koszul modules. Following the idea traced by Avramov, Iyengar, and Sega, we take advantage of the existence of special filtration on R for proving that large classes of R-modules over Koszul rings are Koszul modules. By using this tool we reprove and extend some results obtained by Fitzgerald.
引用
收藏
页码：3438 / 3452
页数：15
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