-
Finite regularity and Koszul algebras
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 123, Number 2, April 2001
- pp. 275-281
- 10.1353/ajm.2001.0008
- Article
- Additional Information
- Purchase/rental options available:
Buy Issue for $25 at JHUP
Abstract
We determine the positively graded commutative algebras over which the residue field modulo the homogeneous maximal ideal has finite Castelnuovo-Mumford regularity: they are the polynomial rings in finitely many indeterminates over Koszul algebras; this proves a conjecture of Avramov and Eisenbud. We also show that if the residue field of a finitely generated graded algebras has finite regularity, then so do all finitely generated graded modules.
collapse
You are not currently authenticated.
If you would like to authenticate using a different subscribed institution or have your own login and password to Project MUSE
Authenticate
- Purchase/rental options available:
