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On some partial orders associated to generic initial ideals

Jan Snellman
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Abstract

We study two partial orders on $[x_1,...,x_n]$, the free abelian monoid on ${x_1,...,x_n}$. These partial orders, which we call the ``strongly stable'' and the ``stable'' partial order, are defined by the property that their filters are precisely the strongly stable and the stable monoid ideals. These ideals arise in the study of generic initial ideals.

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Jan Snellman. 2000-06-02. On some partial orders associated to generic initial ideals. https://arxiv.org/abs/math/9811095

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