Mathematics – Commutative Algebra
Scientific paper
2008-01-04
Mathematics
Commutative Algebra
21 pages; the project started in a working group at AIM in December 2006
Scientific paper
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.
Heinzer William
Swanson Irena
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