Binomial extensions of Simplicial ideals and reduction number

Minh Lam Ha; Marcel Morales

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arXiv · 0911.5423

Binomial extensions of Simplicial ideals and reduction number

Minh Lam Ha·Marcel Morales

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Abstract

In this article, we define a class of binomial ideals associated to a simplicial complex. This class of ideals appears in the presentation of fiber cones of codimension 2 lattice ideals \cite{hm}, and in the work of Barile and Morales \cite{bm2}, \cite{bm3}, \cite{bm4}. We compute the reduction number of Binomial extensions of Simplicial ideals. This extends all the previous results in this area.

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Minh Lam Ha, Marcel Morales. 2009-11-28. Binomial extensions of Simplicial ideals and reduction number. https://arxiv.org/abs/0911.5423

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