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Ratliff-Rush ideal and reduction numbers

Published 8 Oct 2015 in math.AC | (1510.02278v2)

Abstract: Let $(R,m)$ be a Cohen-Macaulay local ring of positive dimension $d$ and infinite residue field. Let $I$ be an m-primary ideal and $J$ a minimal reduction of $I$. In this paper, we show that $\widetilde{r_J(I)}\leq r_J(I)$. This answer to a question that made by M.E. Rossi and I. Swanson in [\ref{Rs}, Question 4.6].

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Authors (1)

  1. Amir Mafi 

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