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Asymptotic growth of saturated powers and epsilon multiplicity
Asymptotic growth of saturated powers epsilon multiplicity
2010/12/9
In this paper, we study the growth of saturated powers of modules. In the case of an ideal I in a local ring (R,m), the saturation of Ik in R is (Ik)sat = Ik :R m ∞ = ∪∞n=1Ik :R m n.