Integral degree of a ring and reduction numbers

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

The supremum of reduction numbers of ideals having principal reductions is expressed in terms of the integral degree, a new invariant of the ring, which is finite provided the ring has finite integral closure. As a consequence, one obtains bounds for the Castelnuovo-Mumford regularity of the Rees algebra and for the Artin-Rees numbers.
18 pages

Keywords

Commutative Algebra, 13A30; 13B22

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/132286

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.3381
 http://arxiv.org/abs/0706.3381

Collections

arXiv