Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9497162 | Journal of Pure and Applied Algebra | 2005 | 35 Pages |
Abstract
This paper studies a new class of modules over noetherian local rings, called Koszul modules. It is proved that when a Koszul local ring R is a complete intersection, all high syzygies of finitely generated R-modules are Koszul. A stronger result is obtained when R is Golod and of embedding dimension d: the 2dth syzygy of every R-module is Koszul. In addition, results are established that demonstrate that Koszul modules possess good homological properties; for instance, their Poincaré series is a rational function.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jürgen Herzog, Srikanth Iyengar,