Integral degree of a ring and reduction numbers
Commutative Algebra
2007-06-25 v1
Abstract
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.
Cite
@article{arxiv.0706.3381,
title = {Integral degree of a ring and reduction numbers},
author = {José M. Giral and Francesc Planas-Vilanova},
journal= {arXiv preprint arXiv:0706.3381},
year = {2007}
}