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arXiv · 1908.03765

On the monomial reduction number of a monomial ideal in $K[x,y]$

Jürgen Herzog·Somayeh Moradi·Masoomeh Rahimbeigi·Ali Soleyman Jahan
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Abstract

The reduction number of monomial ideals in the polynomial $K[x,y]$ is studied. We focus on ideals $I$ for which $J=(x^a,y^b)$ is a reduction ideal. The computation of the reduction number amounts to solve linear inequalities. In some special cases the reduction number can be explicitly computed.

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Jürgen Herzog, Somayeh Moradi, Masoomeh Rahimbeigi, Ali Soleyman Jahan. 2019-08-10. On the monomial reduction number of a monomial ideal in $K[x,y]$. https://arxiv.org/abs/1908.03765

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