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arXiv · 1804.03382

On reduction number of products of ideals

Dancheng Lu·Tongsuo Wu
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Abstract

Let $R$ be a standard graded algebra over an infinite field $\mathbb{K}$ and $M$ a finitely generated $\ZZ$-graded $R$-module. Let $I_1,\ldots I_m$ be graded ideals of $R$. The functions $r(M/I_1^{a_1}\ldots I_m^{a_m}M)$ and $r(I_1^{a_1}\ldots I_m^{a_m}M)$ are investigated and their asymptotical behaviours are given. Here $r(\bullet)$ stands for the reduction number of a finitely graded module $\bullet$.

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Dancheng Lu, Tongsuo Wu. 2018-04-10. On reduction number of products of ideals. https://arxiv.org/abs/1804.03382

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