The Goto numbers of parameter ideals
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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.
21 pages; the project started in a working group at AIM in December 2006
21 pages; the project started in a working group at AIM in December 2006