The Goto numbers of parameter ideals
Commutative Algebra
2008-01-07 v1
Abstract
Let Q be a parameter ideal of a Noetherian local ring (R,m). The Goto number g(Q) of Q is the largest integer g such that Q:m^g is integral over Q. We examine the values of g(Q) as Q varies over the parameter ideals of R. We concentrate mainly on the case where dim R = 1, and many of our results concern parameter ideals of a numerical semigroup ring.
Keywords
Cite
@article{arxiv.0801.0685,
title = {The Goto numbers of parameter ideals},
author = {William Heinzer and Irena Swanson},
journal= {arXiv preprint arXiv:0801.0685},
year = {2008}
}
Comments
21 pages; the project started in a working group at AIM in December 2006