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arXiv · 1510.02278

Ratliff-Rush ideal and reduction numbers

Amir Mafi
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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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Amir Mafi. 2017-05-31. Ratliff-Rush ideal and reduction numbers. https://arxiv.org/abs/1510.02278

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