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Fri, 9 May 2008
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arXiv:0801.0685

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Title: The Goto numbers of parameter ideals
Authors: William Heinzer, Irena Swanson
Categories: math.AC Commutative Algebra
Comments: 21 pages; the project started in a working group at AIM in December 2006
MSC: 13A15

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.

Owner: Irena Swanson
Version 1: Fri, 4 Jan 2008 18:36:22 GMT

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