Summary: 



FINITE REGULARITY AND KOSZUL ALGEBRAS



LUCHEZAR L. AVRAMOV AND IRENA PEEVA


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 finite*
*ly
many indeterminates over Koszul algebras; this proves a conjecture in [3*
*]. We
also show that if the residue field of a finitely generated graded algeb*
*ras has
finite regularity, then so do all finitely generated graded modules.

Source: Avramov, Luchezar L.- Department of Mathematics, University of Nebraska-Lincoln

Collections: Mathematics